Dr. Sachin Kumar
Assistant Professor
Department of Mathematics and Statistics
School of Basic and Applied Sciences
Central University of Punjab
Bathinda- 151001
Email Id: sachin.kumar@cup.edu.in; sachin1jan@yahoo.com

Mobile: +91-8968619400

• Officiating Incharge of Centre (OIC), Centre for Mathematics and Statistics, School of basic and Applied Sciences, Central University of Punjab, Bathinda from July 13, 2015 to Dec, 2015.
• Convener, Board of Studies in Mathematics, Central University of Punjab from
  July 2015 to Dec 2015.
• Co opted Member, School Board, School of Basic and Applied Sciences, Central University of Punjab from July 2015 to June 2016.
• Coordinator, Ph.D. Programme, Centre for Mathematics and Statistics, Central
  University of Punjab from July 2015 to Jan 2016.
• Coordinator, M.Sc. Mathmematics Programme, Centre for Mathematics and Statistics, Central University of Punjab from Jan 2016 till date.
• Chairperson, Academic and Administrative Committee, Centre for Mathematics and Statitics, Central University of Punjab, from July 2015 to Dec 2015.
• Convener, Academic and Administrative Committee, Centre for Mathematics and Statitics, Central University of Punjab, from July 2015 to till date.
• Member, Board of Studies, Department of Mathematics, Central University of Punjab, Bathinda from August 2015 to till date.

• Member of International Association of Engineers (IAENG) Membership No: 157601.
• Member of Indian Society of Industrial and Applied Mathematics

1. Project Title: Exact solutions of some scientific problems
• Ref. No: CUPB/CCl16lOO/ 13
• Duration: 2 years
• Funding Agency: Central Univeristy of Punjab, Reasearch Seed Money (RSM) Project
• Project Grant: 3 Lacs.
2. Project Title: Reductions and Exact Solutions of Schrodinger System of Equations
• Ref. No: No.F.30-4/2014(BSR)
• Duration: 2 years
• Funding Agency: University Grant Commission (UGC)
• Project Grant: 6 Lacs.
3. Project Title: Applications of group theoretic techniques to some nonlinear systems from mathematical physics
• Duration: 3 years (2016-2019)
• Funding Agency: CSIR
• Project Grant: 1694000
4. Project Title: Genetic epidemiology and investigations of epigenetic signatures among polycystic ovary syndrome (PC)
   • Duration: 3 years (2019-2022)
   • Funding Agency: ICMR
   • Project Grant: 1524348 (1 YEAR GRANT)

• Nonlinear Dynamics
• American Mathematical Society (AMS)
• Canadian Journal of Physics
• Indian Journal of Pure and Applied Mathematics
• Paramana Journal of Physics
• Journal of Computational Methods in Science and Engineering (JCMSE)
• Journal of Applied Mathematics
• Journal of Applied Mathematics
• Zeitschrift für Naturforschung A
• International Journal of Nonlinear Sciences (IJNS)
• Applied Mathematics and Information Sciences

1. E. V. Krishnan , Sachin Kumar and Anjan Biswas, Solitons and other nonlinear waves of the Boussinesq equation, Nonlinear Dynamics, 70 (2012) 1213-1221 (Springer) (Impact Factor 4.339)
2. Sachin Kumar, K. Singh and R. K. Gupta, Painleve Analysis, Lie Symmetries and Exact Solutions for (2+1) Dimensional Variable coefficients Broer-Kaup Equation, Communications in Nonlinear Science and Numerical Simulations, 17 (2012) 1529-1541 (Elsevier) (Impact Factor 3.181)
3. K. Singh, R. K. Gupta and Sachin Kumar, BBM Equation with variable coefficients: Similarity reductions and Painleve analysis, Applied Mathematics and Computation, 217 (2011) 7021-7027 (Elsevier) ( Impact Factor 1.738)
4. 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, Journal of Ocean Engineering,  70 (2013)  81-87  (Elsevier) (Impact Factor 2.300)
5. Sachin Kumar, K. Singh and R. K. Gupta, Coupled Higgs Field Equation and Hamiltonian Amplitude Equations: Lie Classical Approach and (G’/G) Expansion Method, Parmana-Journal of Physics, 79 (2012) 41-60 (Springer) (Impact Factor 1.185)
6. Alvaro Salas, Sachin Kumar, Ahmet Yildirim, and Anjan Biswas, Cnoidal waves, solitary waves and Painleve Analysis of the 5th order KdV equation with dual-power law nonlinearity, Proc. Romanian Acad. A, 14 (2013) 28-34. (Impact Factor 1.735)
7. G. Ebadi, A. Mojavar, S. Johnson, Sachin Kumar and A. Biswas, Dynamics of Dispersive topological solitons and its perturbations, Indian Journal of Physics, 86 (2012) 1115 –1129 (Springer). (Impact Factor 0.967)
8. R. K. Gupta, Sachin Kumar and Bhajan Lal, New exact travelling wave solutions of generalized sinh-Gorden and (2 + 1)-dimensional ZK–BBM equations, Maejo International Journal of Science and Technology, 6 (2012) 344-355. (Impact Factor 0.312)
9. A.H.Bhrawy, M. A. Abdelkawy, Sachin Kumar, S. Johnson  and A. Biswas, Solitons and other solutions to quantum Zakharov-Kuznetsov equation in quantum magneto-plasmas, Indian Journal of Physics, 87 (2013) 455–463 (Springer) (Impact Factor 0.967)
10. G. Ebadi, N. Y. Fard, A. H. Bhrawy, Sachin Kumar, H. Triki, A. Yildrim and A. Biswas, solutions and other solutions to the (3+1) dimensional extended Kedomtsev-Petviashvili equation with power law nonlinearity, Romanian Reports in Physics, 65 (1) (2013) 27–62, (Impact Factor 1.467)
11. A Biswas, A. V. Krishnan, P. Suarez, A. H. Kara and Sachin Kumar, Solitary waves and conservation laws of Bona-Chen equation, Indian Journal of Physics, 87 (2) (2013)  169-175 (Springer) (Impact Factor 0.967)
12. A. J. M Javad,  S. Johnson, A. Yildirim,  Sachin Kumar and A. Biswas, Soliton solutions to coupled nonlinear wave equations in (2+1) –dimensions, Indian Journal of Physics, 87(3): (2013)  281–287 (Springer) (Impact Factor 0.967)
13. A Biswas, D M Milovic Sachin Kumar and A Yildirim, PERTURBATION OF SHALLOW WATER WAVES BY SEMI-INVERSE VARIATIONAL PRINCIPLE, Indian Journal of Physics, 87(6): (2013) 567–569   (Springer) (Impact Factor 0.967)
14. Sachin Kumar, E. Zerrad, A. Yildirim and A. Biswas, Topological solitons and Lie symmetry analysis for the Kadomtsev – Petviashvili - Burgures equation with power law nonlinearity in dusty plasmas, Proc. Romanian Acad. A,  14, Number 3/(2013),  204–210 (Impact Factor 1.735)
15.  A. Biswas, Sachin Kumar, E. V. Krishnan, B. Ahmed, A. Strong, S. Johnson, and A. Yildirim, Topological solitons and other solutions to potential Kortevedge-de vries equation, Reports in Physics, 65, No. 4, (2013) 1125–1137 (Impact Factor 1.467)
16. A.H. Bhrawy, M. A. Abdelkawy, Sachin Kumar and A. Biswas, Solitons and other solutions to Kadomtsev-Petviashvili equation of B-type, Romanian Journal of Physics, 58, (7) (2013) 729–748 (Impact Factor 1.433)
17. Bouthina Ahmed, Anjan Biswas, E. V. Krishnan and Sachin Kumar, Solitons and other solutions to the generalized Maccari System, Romanian Reports in Physics, 65 (2013) 1138-1154. (Impact Factor 1.467)
18. E.V. Krishnan, A.H. Kara, Sachin Kumar and A Biswas, TOPOLOGICAL SOLITONS, CNOIDAL WAVES AND CONSERVATION LAWS OF COUPLED WAVE EQUATIONS, Indian Journal of Physics, (2013)  (In Press) (Springer) (Impact Factor 0.967)
19. 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 (2011) 59-67 (World Academic Publisher)
20. K. Singh, R. K. Gupta, Sachin Kumar and Anupma,  Symmetry Reductions and Exact Solutions of Modified b-Family Equation, Indian Journal of Industrial and Applied Mathematics, 3 (2012) 13-21, (Taylor & Francis and I. K. Publishers)
21. R. K. Gupta, Sachin Kumar and Anupma,  Symmetries and Exact Solutions of Third-order Partial Differential Equations Arising in the Impulsive Motion of a Flate Plate, Indian Journal of Industrial and Applied Mathematics, 4 (2013), 52-60(Taylor & Francis and I. K. Publishers)

Publications in 2014

1. Sachin Kumar and A. Biswas, Solutions of Konopelchenko-Dubrovsky equation by traveling wave hypothesis and Lie symmetry approach, Applied Mathematics and Information  Science, 8 (2014) pp.1533-1539. (Impact Factor 1.232)
2. A.J. Mohamad Jawad, Sachin Kumar and A. Biswas, Solition solutions of a few nonlinear wave equations in engineering sciences, Scientia Iranica D, (2014) 21(3), 861-869. (Impact Factor 1.024)

Publications in 2015

1. G. Ebadi, A. Mojaver, Sachin Kumar, A. Biswas, SOLITONS AND OTHER SOLUTIONS OF THE LONG-SHORT WAVE EQUATION, International Journal of Numerical Methods for Heat and Fluid Flow, 25 (2015) 129-145. (Impact Factor 2.450)
2. Sachin Kumar, M. Savescu, Q. Zhou, A. Biswas, M. Belic, Optical Solitons with quadratic nonlinearity by Lie symmetry analysis, Optoelectronics and Advanced Materials Rapid Communications, Vol. 9 (2015), pp 1347-1352.(Impact Factor 0.470)

Publications in 2016

1. Sachin Kumar, “Painleve Analysis and Invariant Solutions of Vakhnenko-Parkes (VP) Equation with Power Law Nonlinearity”, Nonlinear Dynamics, Vol. 85 (2016) pp 1275–1279. (Impact Factor 4.339)
2. Sachin Kumar, Qihong Zhou, Anjan Biswas, Milivoj R. Belić, “Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis”, Optoelectronics and Advanced Materials Rapid Communications, Vol. 10 (2016), pp 21-24. (Impact Factor 0.470)
3. SACHIN KUMAR , QIN ZHOU , ALI H. BHRAWY, ESSAID ZERRAD, ANJAN BISWAS, MILIVOJ BELIC, “Optical solitons in Birefringent fibers by Lie symmetry analysis” Romanian Reports in Physics, 68, No. 1, (2016) 341–352,
4.  A.H. BHRAWY, M.A. ABDELKAWY, SACHIN KUMAR, ANJAN BISWAS, “SOLITONS AND OTHER SOLUTIONS TO KADOMTSEV-PETVIASHVILI EQUATION OF B-TYPE,, Rom Journal of Physics, 58,–(7-8) (2013) 729-748.

Publications in 2017

1. Sachin Kumar, “Invariant solutions of Biswas-Milovic equation” Nonlinear Dynamics, Vol. 87 (2017),  pp 1153-1157. (Impact Factor 4.339)
2. Michelle Savescu, Abdul H. Kara, Sachin Kumar, E. V. Krishnan, Malik Zaka Ullah, Seithuti P. Moshokoa, Qin Zhou and Anjan Biswas, “Embedded solitons and conservation law with \chi^(2) and \chi^(3) nonlinear susceptibilities”, Acta Physica Polonica A (APPA) Vol. 131 (2017) 297-303. (Impact Factor 0.604)
3.  M. Mirzazadeh, M. Ekici, M. Eslami, E. V. Krishnan, Sachin Kumar and A. Biswas, “ Solitons and other solutions to Wu-Zhang system”, Nonlinear Analysis: Modelling and Control, 22 (2017) 441-458. (Impact Factor 0.896)

Publications in 2018

1.  Baljinder Kour, Sachin Kumar*, “Symmetry analysis, explicit power series solutions and conservation laws of space-time fractional variant Boussinesq system” European Physical Journal Plus, 133 (2018) 520 (Impact Factor 2.612)

Publications in 2019

1.  Sachin Kumar, Qin Zhou & Wenjun Liu, “Invariant traveling wave solutions of parity-time-symmetric mixed linear-nonlinear optical lattices with three types of nonlinearity” Laser Physics journal, 29 (4) (2019) 045401 (6pp). (Impact Factor 1.158)
2. Baljinder Kour, Sachin Kumar*, “Comment on the paper ``Time fractional third-order variant Boussinesq system: Symmetry analysis, explicit solutions, conservation laws and numerical approximations"[Eur. Phys. J. Plus. 133:240 (2018)]” European Physical Journal Plus, 134 (2019) 154. DOI: https://doi.org/10.1140/epjp/i2019-12518-1 (Impact Factor 2.612)
3. Sachin Kumar, A Biswas, M. Ekici, Q. Zhou, S. P. Moshokoa, M. R. Belic, “Optical solitons and other solutions with anti-cubic nonlinearity by Lie symmetry analysis and additional integration architectures”, Optik, 185, (2019)  30-38 (Impact Factor 1.191)
   
4. Sachin Kumar, Baljinder Kour “Symmetry analysis of some nonlinear generalized systems of space-time fractional partial di erential equations with time dependent variable coefficients” Paramana Journal of Physics, 93 (2019) 21 (Impact Factor 1.185)
5.   Baljinder Kour, Sachin Kumar*, “Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution” , Optik, 183, (2019)  1085-1098. (Impact Factor 1.191)  
6. Baljinder Kour, Sachin Kumar*, “Space time fractional DSW system with dependent variable coefficients: symmetry analysis, power series solution and conservation laws”  European Physical Journal Plus, 134 (2019) 467. (Impact Factor 2.612)

Publications in 2020

1.  Jaskiran Kaur, R. K. Gupta, Sachin Kumar*, “Comment on "on the conservation laws and invariant analysis for time-fractional coupled Fitzhugh-Nagumo equations using the Lie symmetry analysis" by S. Sahoo and S. S. Ray” The European Physical Journal Plus, 135 (2020) 166 (Impact Factor 2.612)
2.  Jaskiran Kaur, R. K. Gupta, Sachin Kumar*, “On  explicit exact solutions and conservation laws for  time fractional variable - coefficient coupled Burger's equations”, Communications in Nonlinear Science and Numerical Simulation, 83, (2020), 105108 (Impact Factor 3.967)
3.  Sachin Kumar, Sandeep Malik, Anjan Biswas, Qin Zhou, Luminita Moraru, Abdullah Kamis Alzahrani & Milivoj R. Belic, “Optical solitons with Kudryashov's equation by Lie symmetry analysis” Physics of Wave Phenomena (Accepted) (Impact Factor 0.641)
4.  Sachin Kumar, Sandeep Malik, Anjan Biswas, Y. Yaldrim, A. S. Alshomrani, M. R. Belic, Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry, Optik, (2020) Accepted (Impact Factor 1.914)
5.  Sachin Kumar, Sandeep Malik, Anjan Biswas, A RE-VISITATION TO REPORTED RESULTS ON OPTICAL SOLITONS , Chaos Soliton Fractals,  137, (2020) 109855. (Impact Factor 3.064)
6.  Pinki Kumari, Rajesh. K. Gupta and Sachin Kumar*,On new symmetry, series solution and conservation laws of nonlinear coupled Higgs field equation, European Physical Journal Plus, 135 (2020) 476 (Impact Factor 2.612)
7. Sachin Kumar, Baljinder Kour, Fractional (3+1)-dim Jimbo Miwa system: Invariance properties, exact solutions, solitary pattern solutions and conservation laws, International Journal of Nonlinear Science and Numerical Simulations (2020) Accepted (Impact Factor: 1.033)

1. Sachin Kumar, "Exact Solutions of Some Complex Non-Linear Equations," Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2018, 4-6 July, 2018, London, U.K., pp12-13
   http://www.iaeng.org/publication/WCE2018/

1. Sachin Kumar, Chapter 8: Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation, Nonlinear Systems: Modeling, Estimation, and Stability, Published by IntechOpen, 2018. (ISBN: 978-1-78923-405-3)
   https://www.intechopen.com/books/nonlinear-systems-modeling-estimation-and-stability

• International Travel Support from DST vide letter number ITS /1538/2017-18 dated 25.0817
• Open Arms Travel grant from organization committee of ICM 2018, Rio de Janeiro, Brazil

• Delivered a Expert Lecture on topic “Resent Trends in Differential Equations” in DAV college for Women, Firozpur.

• NBHM sponsored  Instructional School for Lecturers in Differential Equations and Computations at Jaypee University of Information Technology, Solan, Himachal Pardesh, India, 04 – 16 June, 2012.
• PTU sponsored Faculty Development Program me at Rayat Group of Institutes, Ropar, Punjab, India, 25 – 29 June, 2012.
• NBHM, TIFR Bombay and IITB sponsored Instructional School for Lecturers in Numerical Analysis (2014) at Panjab University, Chandigarh, 9th  – 28th June, 2014.

• Basic Computer Knowledge with Microsoft Office, Microsoft Office      Excel, Latex.
• Knowledge of C-languages (Programming for various numerical analysis    methods) .
• Knowledge of software related to mathematics e.g. MAPLE, MATHEMATICA, MATLAB etc.