Department of Mathematics and Statistics
Centre for Mathematics & Statistics at Central University of Punjab offers programs in the area of pure and applied mathematics and in the area of statistics that leads to the Master of Science degree in Mathematics / Statistics.
Mathematics plays a critical role in our efforts to understand the nature of the physical universe and in the continuing development of our technological society. There is also a long tradition that recognizes the value of mathematics for its aesthetic appeal to the human spirit. Many students of the liberal arts decide to study mathematics for one or both of these reasons. Students also study mathematics in order to develop critical reasoning skills that can significantly contribute to many personal goals. Of course the study of mathematics/statistics can lead directly to interesting employment opportunities. Within the last few years the frenetic pace of research and development in computers and high technology has led to strong new imperatives for more mathematical expertise, and the need to nurture a new generation of mathematically competent men and women has never been more crucial.
In the Centre for Mathematics & Statistics, In addition to the faculty’s strong research interests, there is an equally strong desire to provide instruction of the highest quality.
Faculty
- Dr. Gauree Shankar,Associate Professor, COC
- Dr. Rajesh Kumar Gupta, Associate Professor
- Dr. Sachin Kumar, Assistant Professor
- Dr. Anoop Kumar, Assistant Professor
- Dr. Ashok Kumar Pathak, Assistant Professor
- Dr. Harmanpreet Singh Kapoor, Assistant Professor
- Mrs. Sandeep Kaur, Assistant Professor
- Dr. Sangmitra Sharma, Assistant Professor
Academic Programmes Offered
The Centre for Mathematics and Statistics offers the following programmes:
- M.Sc Mathematics
- M.Sc Statistics
- Ph.D Mathematics
- Ph.D Statistics
Syllabi
2018-19
2017-18
2016-17
2015-16
Research Highlights
The Centre for Mathematics & Statistics is actively engaged in research. The Centre offers facilities for intensive training and research in the basic areas of Mathematics (including Applied Mathematics) and Statistics.
Research interests in Mathematics include Differential Geometry, Differential Topology, General Topology, Numerical Analysis, Partial Differential Equations, Mathematical Biology, Mathematical Physics and Mechanics etc.
Research interests in Statistics include Regression Analysis, Copula Theory, Sampling Design, Biostatistics, Spatial Statistics, Density Estimation, Quality Control, and Design of Experiments.
Laboratory Facilities
As the Centre houses a computer laboratory, computational research features prominently across the research portfolio
Selected Publications
Dr. Rajesh Kumar Gupta
- K. Singh and R. K. Gupta, “On Symmetries and Invariant Solutions of a Coupled KdV System with Variable Coefficients”, International Journal of Mathematics and Mathematical Sciences 23 (2005) 3711-3726.
- K. Singh and R. K. Gupta, “Lie Symmetries and Exact Solutions of a New Generalized Hirota-Satsuma Coupled KdV System with Variable Coefficients”, International Journal of Engineering Science 44 (2006) 241-255. (SCI, Elsevier, Impact Factor 2.668)
- K. Singh and R. K. Gupta, “Exact Solutions of a Variant Boussinesq System” International Journal of Engineering Science 44 (2006) 1256-1268. (SCI, Elsevier, Impact Factor 2.668)
- R. K. Gupta and K. Singh, “Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions”, Journal of Partial Differential Equations 22 (2009) 97-110.
- R. K. Gupta and Anupma, “The Dullin-Gottwald-Holm Equation: Classical Lie Approach and Exact Solutions”, International Journal of Nonlinear Science 9 (2010) 1-7.
- K. Singh, R. K. Gupta and Sachin Kumar, “Benjamin-Bona-Mahony (BBM) equation with Variable Coefficients: Similarity Reductions and Painlevé Analysis”, Applied Mathematics and Computation 217 (2011) 7021-7027. (SCI, Elsevier, Impact Factor 1.551)
- K. Singh, R. K. Gupta and Sachin Kumar, “Exact Solutions of b-family Equation: Classical Lie Approach and Direct Method”, International Journal of Nonlinear Science 11 (1) (2011) 59-67.
- R.K. Gupta S.S. Bhatia and Rajeev, “New Exact Traveling Wave Solutions to the Ostrovsky Equations”, International Journal of Applied Mathematics and Mechanics 2 (2011) 27-33
- R. K. Gupta and K. Singh, “Symmetry Analysis and Some Exact Solutions of Cylindrically Symmetric Null Fields in General Relativity”, Communications in Nonlinear Science and Numerical Simulation 16 (2011) 4189-4196. (SCI, Elsevier, Impact Factor 2.866)
- Sachin Kumar, K. Singh and R. K. Gupta, “Painlevé Analysis, Lie Symmetries and Exact Solutions for (2+1) Dimensional Variable Coefficients Broer-Kaup Equations”, Communications in Nonlinear Science and Numerical Simulation 17 (2012) 1529-1541. (SCI, Elsevier, Impact Factor 2.866)
- Nisha Goyal and R. K. Gupta, “Symmetries and Exact Solutions of the Nondiagonal Einstein-Rosen Metrics”, Physica Scripta 85 (2012) 015004 (6pp). (SCI, IOP SCIENCE, Impact Factor 1.126)
- Nisha Goyal and R. K. Gupta, “A Class of Exact Solutions of Einstein Field Equations”, Physica Scripta 85 (2012) 055011 (6pp). (SCI, IOP SCIENCE, Impact Factor 1.126)
- Nisha Goyal and R. K. Gupta, “On Symmetries and Exact Solutions of Einstein Vacuum Equations for Axially Symmetric Gravitational Fields”, International Journal of Mathematical and Computational Sciences 6 (2012) 104-107.
- Anupma Bansal and R. K. Gupta, “Modified (G’/G)-Expansion Method for Finding Exact Wave Solutions of the Coupled Klein-Gordon-Schrodinger Equation”, Mathematical Methods in the Applied Sciences, 35 (10) (2012) 1175-1187. (SCI, Wiley, Impact factor 0.918)
- Anupma Bansal and R. K. Gupta, “On Symmetry Analysis and Exact Wave Solutions of New Modified Novikov Equation”, International Journal of Computational and Mathematical Sciences, 6 (2012) 65-72.
- Anupma Bansal and R. K. Gupta, “On Certain New Exact Solutions of (2+1)-Dimensional Calogero Degasperis Equation via Symmetry Approach” International Journal of Nonlinear Science 13 (2012) 475-481.
- Nisha Goyal and R. K. Gupta, “New Exact Solutions of Einstein-Maxwell Equations for Magnetostatic Fields”, Chinese Physics B 21 (2012) 090401-6. (SCI, IOP SCIENCE, Impact Factor 1.603)
- Nisha Goyal and R. K. Gupta, “Traveling Wave Solutions for the Sawada-Kotera-Kadomtsev-Petviashivili Equation and Bogoyavlensky-Konoplechenko Equation by (G’/G)-Expansion Method”, International Journal of Computational and Mathematical Sciences 6 (2012) 118-122.
- Lakhveer Kaur and R. K. Gupta, “Kawahara Equation and Modified Kawahara Equation with Time Dependent Coefficients: Symmetry Analysis and Generalized G′/G-Expansion Method” Mathematical Methods in the Applied Sciences 36 (2013) 584-600. (SCI, Wiley, Impact factor 0.918)
- Sachin Kumar, K. Singh and R. K. Gupta, “Coupled Higgs Field Equation and Hamiltonian Amplitude Equation: Lie Classical Approach and (G’/G)-Expansion Method”, Parmana-Journal of Physics, 79 (2012) 41-60. (SCI, Springer, Impact Factor 0.649)
- Anupma Bansal and R.K. Gupta, “Lie Point Symmetries and Similarity Solutions of the Time Dependent Coefficients Calogero Degasperis Equation” Physica Scripta 86 (2012) 035005 (11pp) (SCI, IOP SCIENCE, Impact Factor 1.126).
- Rajeev, R.K. Gupta and S. S. Bhatia, “The New Generalized (G′/G) - Expansion Method for Solving (2+1) Dimensional PKP Equation”, International Journal of Nonlinear Science 14 (2012) 48-52 .
- R. K. Gupta and Anupma Bansal, “Similarity Reductions and Exact Solutions of Generalized Bretherton Equation with Time Dependent Coefficients” Nonlinear Dynamics 71 (2013) 1-12. (SCI, Springer, Impact Factor 2.849)
- R. K. Gupta, Sachin Kumar and Bhajan Lal, “New exact travelling wave solutions of generalised sinh-Gordon and (2 + 1)-dimensional ZK-BBM equations”,Maejo International Journal of Science Technology. 6(2012) 344-355. (SCI, Impact Factor 0.367)
- R.K. Gupta and Anupma Bansal, “Painlevé Analysis, Lie Symmetries and Invariant Solutions of Potential Kadomstev Petviashvili Equation with Time Dependent Coefficients”, Applied Mathematics and Computation 219 (2013) 5290–5302 (SCI, Elsevier, Impact Factor 1.551)
- Lakhveer Kaur and R. K. Gupta, “Painlevé Analysis, Similarity Reductions and Exact Solutions of the Kuramoto-Sivashinsky Equation with Variable Coefficients”, International Journal of Nonlinear Sciences 15 (2013) 139-149.
- Lakhveer Kaur and R. K. Gupta, “On Symmetries and Exact Solutions of Einstein Maxwell Field Equations via Symmetry Approach”, Physica Scripta 87 (2013) 035003 (7pp) (SCI, IOP SCIENCE, Impact Factor 1.126).
- Vikas Kumar, R. K. Gupta and Ram Jiwari, “Comparative Study of Travelling Wave and Numerical Solutions for the Coupled Short Pulse (CSP) Equation”, Chinese Physics B 22(5) (2013) 050201 - 7. (SCI, IOP SCIENCE, Impact Factor 1.603).
- Lakhveer Kaur and R. K. Gupta, “Symmetries and Exact Solutions of Einstein Field Equations for Perfect Fluid Distribution and Pure Radiation Fields”, Maejo International Journal of Science Technology 7 (2013) 133-144. (SCI, Impact Factor 0.367).
- Vikas Kumar, Ram Jiwari and R. K. Gupta, Numerical Simulation of Two Dimensional Quasilinear Hyperbolic Equations by Polynomial Differential Quadrature Method, Engineering Computations 30 (2013) 892-909 (SCI, Emerald, Impact Factor 1.495) .
- Vikas Kumar, R. K. Gupta and Ram Jiwari, “Painlevé Analysis, Lie Symmetries and Exact Solutions for Variable Coefficients Benjamin-Bona-Mahony-Burger (BBMB) Equation”, Communications in Theoretical Physics 60 (2013) 175–182 (SCI, IOP SCIENCE, Impact Factor .893).
- Lakhveer Kaur and R. K. Gupta, “On Certain New Exact Solutions of Einstein Equations for Axisymmetric Rotating Fields”, Chinese Physics B 22 (2013) 100203 – 100208 (SCI, IOP SCIENCE, Impact Factor 1.603).
- Sachin Kumar, K. Singh and R. K. Gupta, “Dynamics of internal waves in a stratified ocean modeled by the extended Gardner equation with time-dependent coefficients” Ocean Engineering 70 (2013) 81-87 (SCI, Elsevier, Impact Factor 1.351).
- Vikas Kumar, R. K. Gupta and Ram Jiwari, “Lie Group Analysis, Numerical and Non-Traveling Wave Solutions for the (2+1)-Dimensional Diffusion–Advection Equation with Variable Coefficient”, Chinese Physics B, 23 (2014) 030201 (6 pp.). (IOP, Impact Factor 1.603).
- Lakhveer Kaur and R. K. Gupta, “Some Invariant Solutions of Field Equations with Axial Symmetry for Empty Space Containing an Electrostatic Field”, Applied Mathematics and Computation, 231 (2014) 560–565 (SCI, Elsevier, Impact Factor 1.551).
- Rajeev, R.K. Gupta and S. S. Bhatia, “Lie Symmetry Analysis and Exact Solutions for a Variable Coefficient Generalized Kuramoto-Sivashinsky Equation”, Romanian Reports in Physics 66 (2014) 923 – 928 (SCI, Publishing House of the Romanian Academy, Impact Factor 1.517).
- Rajeev, R.K. Gupta and S. S. Bhatia, “Symmetry Analysis and Some Solutions of Gowdy Equation”, Romanian Journal of Physics 60 (2015) 15 – 21(SCI, Publishing House of the Romanian Academy, Impact Factor 0.924) (Accepted).
- Ram Jiwari, R. K. Gupta and Vikas Kumar, “Polynomial Differential Quadrature Method for Numerical Solutions of the Generalized Fitzhuge-Nagumo Equation with Time-Dependant Coefficients”, Ain Shams Engineering Journal 5 (2014) 1343–1350.
- R. K. Gupta, Vikas Kumar and Ram Jiwari, “Exact and Numerical Solutions of Coupled Short Pulse Equation with Time Dependent Coefficients”, Nonlinear Dynamic 79 (2015) 455 – 464 (SCI, Springer, Impact Factor 2.849).
- Rajeev, R.K. Gupta and S. S. Bhatia, “Painlevé Analysis and Some Solutions of Variable Coefficients Benny Equation”, Parmana-Journal of Physics 85 (2015) 1111-1122 (SCI, Springer, Impact Factor 0.649).
- Nisha Goyal, A.M. Wazwaz and R. K. Gupta, “Applications of MAPLE Software to Derive Exact Solutions of Generalized Fifth – Order Korteweg – De Vries Equation with Time- Dependant Coefficients”, Romanian Reports in Physics (SCI, Publishing House of the Romanian Academy, Impact Factor 1.517) (Accepted).
- Rajeev, R.K. Gupta and S. S. Bhatia, “Invariant Solutions of Variable Coefficients Generalized Gardner Equation” Nonlinear Dynamic (SCI, Springer, Impact Factor 2.849) DOI 10.1007/s11071-015-2468-
Dr. Gauree Shanker
- Gauree Shanker and Deepti Choudhary, On the L-duality of Finsler Spaces with -metric-, Romanian Computer Science Journal of Mathematics and, Vol. 5, issue 2 (2015), 195-201.
- Gauree Shanker and Sruthy Asha Baby, L-dual of a Finsler space with infinite series (α, β)-metric, Bull. Cal. Math. Soc. Vol. 107(4) (2015), 335-354.
- Gauree Shanker, On the Conformal Change of a Five-dimensional Finsler Space, Differential Geometry - Dynamical Systems, Vol. 15 (2013), 79-92.
- Gauree Shanker and Ravindra Yadav, On the Randers change of Exponential Metric, Applied Sciences, Vol. 15 (2013), 94-103.
- Gauree Shanker and Ravindra Yadav,Weakly Berwald Finsler spaces with first approximate Matsumoto metric, Tensor, New Series, Vol. 74, No.1 (2013), 34-42.
- Gauree Shanker and Ravindra Yadav, On Some Projectively Flat (α, β)-Metrics, Gulf Journal of Mathematics, Vol. 1 (2013), 72-77.
- Gauree Shanker and Ravindra Yadav, On the hypersurface of a Finsler space with special (α, β)-metric , Journal of the Indian Mathematical Soc., Vol. 80, Nos. 3-4, (2013), 329-339.
- Gauree Shanker and Deepti Choudhary, On a New Class of Weakly Berwald Spaces with (α,β)-metric, British Journal of Mathematics & Computer Science 14(6): 1-12, 2016.
- Gauree Shanker, G.C. Chaubey and Vinay Pandey, Hypersurface of a Finsler Space with special (α, β)-metric), Journal of Tensor Society, Vol.7 (2013), 39-47.
- Gauree Shanker and Ravindra Yadav, Two-dimensional Landsberg space with first approximate Matsumoto metric, Bull. Cal. Math. Soc., 105 (1), (2013), 29-36. ISSN: 0008-0659.
- Gauree Shanker and Proxy Gupta, Projectively flat Finsler space with special metric,J. Int. Acad. Phy. Sc. Vol. 17 No. 4 (2013), 369-376.
- Gauree Shanker and Deepti Choudhary,Weakly Berwald Finsler spaces with second approximate Matsumoto metric, Journal of Mathematical Analysis.(In Press)
- Gauree Shanker, On a canonical recurrent d-connection of the generalized Lagrange space with the metric, Tensor, New Series, Vol. 73, No. 3(2011), 207-214.
- Gauree Shanker and Ravindra Yadav,The L-dual of a generalized Matsumoto space, Int. J. Pure & Appl. Maths, Volume 78 No. 6, 2012, 867-877.
- Gauree Shanker and Ravindra, On the hypersurface of a Finsler space with metric-, Tensor, New Series, Vol. 73, No. 1 (2011), 6-14.
- Gauree Shanker and Ravindra Yadav, The L-dual of a special Finsler space with metric, Tensor, New Series, Vol. 73, No. 2 (2011), 137-144.
- Gauree Shanker and Ravindra Yadav, Finsler Spaces with Third Approximate Matsumoto Metric, Tensor New Series, Vol. 73, No. 2 (2011), 118-126.
- Gauree Shanker, The L-dual of a Generalized m- Kropina Space, J. T. S. Vol. 5 (2011), 15-25.
- Gauree Shanker and Ravindra, On the Hypersurface of a Second order Matsumoto Space with metric , Int. J. Cont. Math. Sc., Vol. 7, 2012, no. 3, 115 - 124.
- Gauree Shanker, G. C. Chaubey and Vinay Pandey, Conformal Change of Some Special Finsler Spaces with Constant Unified Main Scalars, Int. Math. Forum.Vol. 7, 2012, no. 22, 1071 - 1080.
- Gauree Shanker, Five-dimensional Finsler space with constant unified main scalars, Tensor, New Series, Vol. 72, No. 1(2010), 81-87.
- Gauree Shanker, On Cartan spaces with generalized metric, J. T. S. Vol. 4 (2010), 41-48.
- B. N. Prasad and Gauree Shanker, Conformal change of four-dimensional Finsler space, Bull. Cal. Math. Soc., Vol.102, No. (5) 2010, 423-432. ISSN: 0008-0659. .
- B. N. Prasad, G. C. Chaubey and G. S. Patel, The four dimensional Finsler space with constant unified main scalar, Bull. Cal. Math. Soc., Vol.99 No.2 (2007), 113-122. ISSN: 0008-0659.
- Gauree Shanker and Sruthy Asha Baby, Projectively Flat Finsler spaces with infinite series (α,β)-metric, South East Asian Journal of Mathematics, Vol. 11, No. 1 (2015), 17-24.
- Kiranta Kumari, P. K. Gupta and G. Shanker, A Mathematical Model to Solve Nonlinear Initial and Boundary Value Problems by LDTM, Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 5, Issue 10, (Part - 1) October 2015, pp.32-38.
- Kiranta Kumari, G. Shanker and P. K. Gupta, Approximate Analytical Solution of Liner Boundary Value Problems by Laplace-Differential Transform Method, Journal of Informatics and Mathematical Sciences Vol. 7, No. 2, pp. 99--108, 2015 ISSN 0975-5748 (online); 0974-875X (print).
- Gauree Shanker, G. C. Chaubey & Vinay Pandey, On the main scalars of a five-dimensional Finsler space, Int. el. J. Pure & Appl. Maths. Volume 5 No. 2, (2012), 69-78.ISSN 1314-0744.
- Gauree Shanker and Deepti Chaudhary, On the conformal change of a Douglas space of second kind with certain (α,β)-metrics, Int. J. Pure and Appl. Math. Vol. 103 No. 4 (2015), 613-624.
- Gauree Shanker and Vijeta Singh, On the L-duality of Higher order Finsler Spaces, British Journal of Mathematics & Computer Science 14(2): 1-11, 2016.
Dr. Sachin Kumar
- K. Singh, R. K. Gupta and Sachin Kumar. (2011). Exact Solutions of b-family Equation: Classical Lie Approach and Direct Method. International Journal of Nonlinear Science, 11, 59-67.
- K. Singh, R. K. Gupta and Sachin Kumar. (2011). BBM Equation with variable coefficients: Similarity reductions and Painleve analysis. Applied Mathematics and Computation, 217, 7021-7027.
- E. V. Krishnan , Sachin Kumar and Anjan Biswas. (2012). Solitons and other nonlinear waves of the Boussinesq equation. Nonlinear Dynamics, 70, 1213-1221.
- Sachin Kumar, K. Singh and R. K. Gupta. (2012). Painleve Analysis, Lie Symmetries and Exact Solutions for (2+1) Dimensional Variable coefficients Broer-Kaup Equation. Communications in Nonlinear Science and Numerical Simulation, 17, 1529-1541.
- Sachin Kumar, K. Singh and R. K. Gupta. (2012). Coupled Higgs Field Equation and Hamiltonian Amplitude Equations: Lie Classical Approach and (G’/G) Expansion Method. Pramana Journal of Physics, 79, 41-60.
- Sachin Kumar, K. Singh and R. K. Gupta. (2013). Dynamics of internal waves in a stratiﬁed ocean modeled by the extended Gardner equation with time-dependent coeﬃcients, Journal of Ocean Engineerin, 70, 81-87.
- G. Ebadi, N. Y. Fard, A. H. Bhrawy, Sachin Kumar, H. Triki, A. Yildrim and A. Biswas. (2013). Solitons and other solutions to the (3+1) dimensional extended Kedomtsev-Petviashvili equation with power law nonlinearity, Romanian
Reports in Physics, 65, 27-62.
- Biswas, Sachin Kumar, E. V. Krishnan, B. Ahmed, A. Strong, S. Johnson, and A. Yildirim. (2013). Topological solitons and other solutions to potential Kortevedge-de vries equation, Romanian Reports in Physics, 65, 1125-1137.
- A Biswas, A. V. Krishnan, P. Suarez, A. H. Kara and Sachin Kumar. (2013). Solitary waves and conservation laws of Bona-Chen equation, Indian Journal of Physics, 87, 169-175.
- J. M Javad, S. Johnson, A. Yildirim, Sachin Kumar and A. Biswas (2013). Soliton solutions to coupled nonlinear wave equations in (2+1) –dimensions, Indian Journal of Physics, 87, 281-287.
- Alvaro Salas, Sachin Kumar, Ahmet Yildirim and Anjan Biswas. (2013). Cnoidal waves, solitary waves and Painleve Analysis of the 5th order KdV equation with dual-power law nonlinearity, Proc. Romanian Acad. A, 14, 28-34.
- G. Ebadi, A. Mojavar, S. Johnson, Sachin Kumar and A. Biswas. (2012). Dynamics of Dispersive topological solitons and its perturbations, Indian Journal of Physics, 86, 1115-1129.
- R. K. Gupta, Sachin Kumar and Bhajan Lal. (2012). New exact travelling wave solutions of generalized sinh-Gorden and (2 + 1)-dimensional ZK–BBM equations, Maejo International Journal of Science and Technology, 6, 344-355.
- A.H. Bhrawy, M. A. Abdelkawy, Sachin Kumar and A. Biswas. (2013). Solitons and other solutions to Kadomtsev-Petviashvili equation of B-type, Romanian Journal in Physic, 58, 729-748.
- A Biswas D M Milovic Sachin Kumar and A Yildirim. (2013). Perturbation of shallow water waves by semi-inverse variational principle, Indian Journal of Physics, 87, 567-569.
- A.H.Bhrawy, M. A. Abdelkawy, Sachin Kumar, S. Johnson and A. Biswas. (2013). Solitons and other solutions to quantum Zakharov-Kuznetsov equation in quantum magneto-plasmas. Indian Journal of Physics, 87, 455-463.
- Bouthina Ahmed, Anjan Biswas, E. V. Krishnan and Sachin Kumar. (2013). Solitons and other solutions to the generalized Maccari System, Romanian Reports in Physics, 65, 1138-2254.
- E.V. Krishnan, A.H. Kara, Sachin Kumar and A Biswas. (2013). Topological solitons, conoidal waves and conservation laws of coupled wave equations. Indian Journal of Physics, 87, 1233-1241.
- Sachin Kumar, E. Zerrad, A. Yildirim and A. Biswas. (2013). Topological solitons and Lie symmetry analysis for the Kadomtsev Petviashvili-Burgures equation with power law nonlinearity in dusty plasmas, Proc. Romanian Acad. A, 14, 204-210.
- Sachin Kumar and A. Biswas, (2014), Solutions of Konopelchenko-Dubrovsky equation by traveling wave hypothesis and Lie symmetry approach, Applied Mathematics and Information Science, 8, 1533-1539.
- J. Mohamad Jawad, Sachin Kumar and A. Biswas, (2014), Solition solutions of a few nonlinear wave equations in engineering, Scientia Iranica, 21, 861-869.
- G. Ebadi, A. Mojaver, Sachin Kumar, A. Biswas. (2015). Solitons and other solutions of the long-short wave equation, International Journal of Numerical Methods for Heat and Fluid Flow, 25, 129-145.
- Sachin Kumar, Q. Zhou , A. H. Bhrawy & A. Biswas. (2015). Optical solitons in birefringent fibers by lie symmetry analysis, Romanian Reports in Physics, (Accepted)
Dr. Anoop Kumar
- Rajan Arora, Anoop Kumar, (2011). Soliton Solution for the BBM and MRLW Equations by Cosine-function Method, Applied Mathematics; 1(2): 59-61.
- R. Arora, A. Kumar,(2011). Soliton Solution of GKDV, RLW, GEW and GRLW Equations by Sine-hyperbolic Function Method, American Journal of Computational and Applied Mathematics.; 1(1): 1-4.
- Rajan Arora, Anoop Kumar, (2012). Solution of the Drinfeld-Sokolov-Wilson (DSW) Equation by RDT Method, Mathematical Science International Research Journal, 1(1): 115-122.
- Rajan Arora, Anoop Kumar, (2013). Solution of the Coupled Drinfeld’s–Sokolov–Wilson (DSW) System by Homotopy Analysis Method, Advanced Science, Engineering and Medicine, 5, 1–7.
- Anoop Kumar, Rajan Arora, (2013). Solutions of the coupled system of Burgers’ equations and coupled Klein-Gordon equation by RDT Method, International Journal of Advances in Applied Mathematics and Mechanics 1(2), 103-115.
- Anoop Kumar, Rajan Arora, (2014). Solution of the Nagumo’s equation by reduced differential transform method (RDT) Method, Mathematical Science International Research Journal., 3(1) 339-342.
- Anoop Kumar, Rajan Arora, (2014). Solution of the non-linear partial differential equations by RDT Method, Mathematics in Engineering, Science and Aerospace. 5(2), 105-112.
Dr. Harmanpreet Singh Kapoor
- Jain, K. and Kapoor H. P. S. (2011), Premium Evaluation for Different Loss Distributions using Utility Theory, Discussiones Mathematicae : Probability and Statistics, 31, 41-58.
- Jain, K. and Kapoor, H. P. S. (2013): Ageing Properties of Curtate Future Lifetime, Sri Lankan Journal of Applied Statistics,14 (1), 55-84.
- Kapoor, H. P. S. and Jain, K. (2014): Distributional Properties of Curtate Future Lifetime, Journal of Probability and Statistical Science, 12(2), 139-163.
Papers Presented in Seminars/Conferences/Symposia/Workshops
- Gauree Shanker: Delivered an invited talk entitled, "On the Non-holonomic Frames in Finsler Geometry" in the International Conference on Emerging Areas of Mathematics for Science and Technology held in the Department of Mathematics Punjabi University, Patiala during January 30-February 1, 2015.
- Gauree Shanker: Delivered a series of lectures in the Instructional School for Lecturers on Differential Geometry held at Banasthali Vidyapith during December 8-20, 2014, supported by NCM, A Joint Centre of IIT Bombay and TIFR, Mumbai.
- Gauree Shanker: Delivered an invited talk on the topic Stop Teaching Calculating, Start Teaching Math in National Workshop on "Thoughts on Mathematics Education" held at T. D. P. G. College Jaunpur (U. P.) during November 02-06, 2014, sponsored by DST Gov. of India.
- Gauree Shanker: Delivered an invited talk entitled "On the Conditions for a Four dimensional Conformally flat Landsberg space to be a Berwald space" in the symposium on Riemann-Finsler geometry organized in the 29th Annual meeting of Ramanujan Mathematical Society during 23-27 June 2014 at IISER, Pune.
- Gauree Shanker: Delivered a series of lectures on Theory of Curves and Surfaces in the National Workshop on Differential Geometry held at Banasthali University, Rajasthan during October 23-27, 2013, sponsored by DST Gov. of India.
- Gauree Shanker: Delivered an invited talk on Geometry of Curves in Space in the National Conference of society of Statistics, Computers and Applications at Banasthali University, Rajasthan during February 24-26, 2013.
- Gauree Shanker: Delivered an invited talk on Scope and Applications of Multiple integrals on November 19, 2013 at Asian Institute of Technology, Jaipur, Rajasthan.
- Gauree Shanker: Delivered an invited talk on An Introduction to Tensors in the annual conference of Purvanchal academy of sciences held at T. D. P. G College, Jaunpur (U. P) during February 20-21, 2010.
- Gauree Shanker: Presented a paper entitled, "On the Nonholonomic Frames for Finsler spaces with (α, β) metrics" in the National Conference on Recent Developments in Special Functions and their Applications at T. D. P. G. College Jaunpur (U. P.) during November 04-06, 2014.
- Gauree Shanker: Presented a paper entitled, "Two-dimensional Landsberg space with first approximate Matsumoto metric" in the International Conference on Differential geometry and Relativity at DDU Gorakhpur University, Gorakhpur during November 09-11, 2013.
- Gauree Shanker: Presented a paper entitled, "On the Hypersurface of Second Matsumoto Space" in the National Conference on Computational and Mathematical Sciences "Computatia-II 2012" at VIT Jaipur from Nov. 30 to Dec. 01 2012.
- Gauree Shanker: Presented a paper entitled, "The L-dual of a generalized m-Kropina Space" in the National Conference of ISMAMS on Interdisciplinary Applications of Mathematical and Statistical Techniques at Gorakhpur (U. P.) during February 25-26, 2012.
- Gauree Shanker: Presented a paper entitled, “Conformal Change of Five-dimensional Finsler space" in the annual conference of Purvanchal academy of sciences held at T. D. P. G College, Jaunpur (U. P) during February 20-21, 2010.
- Gauree Shanker: Presented a paper entitled, "Finslerian Hyper surfaces and β-change of Finsler metric" in the National conference of the Tensor society, India held at SRMCEM, Lucknow during July 5-6, 2008.
- Gauree Shanker: Presented a paper entitled, "A remarkable connection in Finsler space with generalized (α, β)-metric" in the annual conference of Purvanchal academy of sciences held at Jaunpur (U.P) during February 19-20, 2005.
- Gauree Shanker: Presented a paper entitled, "Finslerian Hyper surfaces and Matsumoto change of Finsler metric" in the National conference on emerging areas in Mathematical sciences in first quarter of the century held at Gorakhpur (U.P) during February 11-13, 2005.
- Sachin Kumar (2010). Symmetry Reductions and Exact Solutions of Modified b-Family Equation. Satellite Conference of International Congress of Mathematicians 2010 organized jointly by ISIAM & Sharda University at Sharda University, Greater Noida, Delhi NCR on August 15 -17 , 2010.
- Sachin Kumar (2009). Modified b-Equations: Classical Lie Approach and Exact Solutions. Eighteenth International Conference of Forum for Interdisciplinary Mathematics organized by FIM and Jaypee University of Information and Technology at JUIT, Solan on August 2-4, 2009.
- Rajan Arora, Anoop Kumar, (2013), Solution of Linear and Nonlinear PDEs by the He’s Variational Iteration Method, Recent Advances in Intelligent Control, Modelling and Computational Science, ISBN: 978-960-474-319-3.
- Harmanpreet Singh Kapoor, (2015). Presented a paper titled “Generalized Additive Model for evaluating premium of diabetic patients” in National Conference on Advances in Theoretical and Applied Statistics, held at Panjab University.
- Harmanpreet Singh Kapoor, (2014). Presented a paper titled “Ageing Properties of Curtate Future Lifetime” in Chandigarh Science, Congress held at Panjab University.