Dr. Sachin Kumar

Assistant Professor

Department of Mathematics and Statistics

School of Basic and Applied Sciences

Central University of Punjab, Bathinda 151001, Punjab, India.

Personal Information

Pressent Address: Mob: +91-8968619400,

H.No 356/15, Jain Street, Email: sachin1jan@yahoo.com

Samana-147101 (Patiala) Punjab, India sachin.kumar@cup.edu.in

Educational Qualifications

Jan 2013- Aug

2013

Postdoctorate(Under UGC Dr. D. S Kothari

Postdoctorate Fellowship) from Punjab University

Chandigarh

2008 -2012

Ph.D from Thapar University, Patiala 147001, Punjab, India

Title: Symmetries and exact solution of some

nonlinear partial differential equations.

Broader Area: Differential Equations

2011

CSIR-UGC NET with All India Rank (AIR) -10

2012

Graduate Aptitude Test in Engineering (GATE) with

AIR-220

2004 – 2006

M.Sc from G.N.D.U, Amritsar.

2003 – 2004

B.Ed (Sci-Math) from Panjab University, Chandigarh

2000 – 2003

B.Sc (N.M) from Punjabi University, Patiala

1998 – 2000

+2 (N.M) from P.S.E.B, Mohali

Teachin Experiece:

Assistant Professor, Department of Mathematics and Statistics, School of Basic

and Applied Sciences, Central University of Punjab, Bathinda from July 13,

2015 to till date.

Assistant Professor, School of Mathematics, Thapar University, Patiala from

July 2014 to July 2015.

Assitant Professor, Department of Mathematics, DAV University, Jalandhar

from August 2013 to July 2014.

Post Doc Fellow, Department of Mathematics, Punjab University Chandigarh

March 2013 to August 2013.

Assistant Professor, Department of Applied Sciences, Rayat Bahara Group of

Institutions, Patiala from June 2011 to March 2013.

Administration Experience:

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, Bathinbda from August 2015 to till date.

Member, Admission Committee, Central University of Punjab, Bathida.

Member/ Office bearer of Professional Bodies

Member of International Association of Engineers (IAENG) Membership

No: 157601.

Member of Indian Society of Industrial and Applied Mathematics.

Sponsored Research Projects (Ongoing)

Project Title: Exact solutions of some scientific problems

o Ref. No: CUPB/CCl16lOO/ 13

o Duration: 2 years

o Funding Agency: Central Univeristy of Punjab, Reasearch Seed Money

(RSM) Project

o Project Grant: 3 Lacs.

Project Title: Reductions and Exact Solutions of Schrodinger System of

Equations

o Ref. No: No.F.30-4/2014(BSR)

o Duration: 2 years

o Funding Agency: University Grant Commission (UGC)

o Project Grant: 6 Lacs.

Reviewing

Nonlinear Dyamics

American Mathematical Society (AMS)

Canadian Journal of Physcis

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.

International Publications:

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 0.699)

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, Issue 3 (2013)

(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, (2013) (In Press)

(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, (2013) (In Press)

(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, (2013) (Accepted)

(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), (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 (2012),

(Taylor & Francis and I. K. Publishers)

Publications in 2014

22. 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)

23. 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

24. 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)

25. 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

26. 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)

27. 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)

Publications in 2017

28. Sachin Kumar, “Invariant solutions of Biswas-Milovic equation” Nonlinear

Dynamics, Vol. 87 (2017), pp 1153-1157. (Impact Factor 4.339)

29. 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)

30. 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

31. 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 2.240)

Publications in 2019

32. 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)

33. 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, (2019) (Accepted).

DOI: https://doi.org/10.1140/epjp/i2019-12518-1

(Impact Factor 2.240)

34. 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)

35. 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,

(2019) (Accepted).

(Impact Factor 0.75)

Paper in Conference Proceedings

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

Link: http://www.iaeng.org/publication/WCE2018/ (Ctrl+Click to follow the link)

Book Chapter

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)

Link:https://www.intechopen.com/books/nonlinear-systems-modeling-

estimation-and-stability (Ctrl+Click to follow the link)

Awards and Recognitions

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

Invited Talk

Delivered a Expert Lecture on topic “Resent Trends in Differential Equations”

in DAV college for Women, Firozpur.

Refresher Courses

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 Univeristy, Chandigarh, 9th

– 28th June, 2014.

Papers presented in Conferences/Workshop attended

S.N. Title of the

paper presented

Title of

Conference/Semi

nar etc

Date(s) of

the event

Organized

by

Whether

International/

National

1) Symmetry

Reductions and

Exact Solutions

of Modified b-

SATELLITE

CONFERENCE

OF

INTERNATIONA

15th -17th

August

2010

Sharda

University,

Greater

Noida, Delhi

International

Family Equation L CONGRESS OF

MATHEMATICI

ANS 2010

NCR

2) Modified b-

Equations:

Classical Lie

Approach and

Exact Solutions

Eighteenth

International

Conference of

Forum for

Interdisciplinary

Mathematics

2nd-4th,

August

2009

Jaypee

University of

Information

and

Technology,

Solan

International

3) Exact Solutions

of some

complex

nonlinear

equations

World Congress

on Engineering

2017

5th – 7th

July, 2017

Imperial

College,

London, UK

International

4)

Workshop on Parallel Computing

using HPCC

21st -22nd

March,

2013

Panjab University, Chandigarh

5) Teacher’s Enrichment Workshop

Finite Group Theory (2014)

27th May -

2nd June,

2014

Punjabi University, Patiala

6) Workshop on Fuzzy Sets, Fuzzy

Logic and its Applications in Big Data

Analytics.

April 12-15,

2016

Thapar University Patiala at Patiala

Professional Skill Set:

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.

Language Proficiency:

Punjabi, Hindi and English.

Referees:

Dr. Karanjeet Singh

(Supervisor, Ph.D.)

Professor, Department of Mathematics

Jaypee University of Information Technology, Waknaghat,

P. O. Dumehar Bani, Kandaghat, Solan, (H. P.), INDIA

Ph. No.: (+91)-9816054966, (+91) -01792-239259

Fax : (+91) -01792-245362

Email ID: karan_jeet@yahoo.com, karanjeet.singh@juit.ac.in

Dr. Anjan Biswas

Associate Professor, Department of Mathematical Sciences

Delaware State University 1200 N. DuPont Highway Dover, DE 19901-

2277 USA

Ph. No. (302)857-7913(Work) (302)659-0169(Home) (302)857-7054(Fax)

Mob. No. (615) 4240455(cell)

Email ID: biswas.anjan@gmail.com

Dr. S. K. Tomar

Professor, Department of Mathematics

Panjab University, Chandigarh, India.

Office Phone: +91 172 253 4523

Mobile: +91 9463223629

E-mail: sktomar@pu.ac.in

Miscellaneous:

D. O. B. : 1st Jan, 1982.

Sex : Male

Martial Status : Married

Nationality : Indian

Place Patiala (SIGNATURE)