Applied Mathematics (Non Linear waves modeling).
List of publications
Arun Kumar, Ram Dayal Pankaj and Manish Gaur (2011) Finite Difference Scheme of the Model for Nonlinear Wave-Wave Interaction in Ionic Media Computational Mathematics and Modeling, V.22(3) ,SSN: 1573-837X
Arun Kumar, Ram Dayal Pankaj and Chandra Prakash Gupta (2011)A Description of a wave-wave interaction model by Variational and Decomposition methods [Mathematica Aeterna, Vol. 1(1), 55 – 63],ISSN:1314-3344
Arun Kumar and Ram Dayal Pankaj(2012) Laplace-Decomposition Method to Study Solitary Wave Solutions of Coupled Non Linear Partial Differential Equation,[International Scholarly Research Network (ISRN) Computational Mathematic Volume 2012, Article ID 423469, 5 pages, ISSN: 2090-7842
Kumar, A. and Pankaj R. D. (2012) ,Some Solitary and Periodic Solutions of the non linear wave Equation by Variational Approach ,Journals of Rajasthan Academy of Physical Sciences, Vol. 11(2) pp 133-139,ISSN:0972-6306
Pankaj, R D (2013), Laplace - Modified Decomposition Method to Study Solitary Wave Solutions of Coupled Nonlinear Klein-Gordon Schrödinger Equation, International Journal of Statistika and Mathematika, Volume 5(1) pp 01-05, ISSN: 2277- 2790 E-ISSN: 2249-8605
Pankaj R. D. and. Kumar, A. (2013)Solutions of the Coupled Klein-Gordon Equation by Modified Exp-Function Method ,Indian Journal Of Applied Research Volume : 3(3),ISSN - 2249-555X
Kumar A., Pankaj R. D and Sachdeva J. ( 2013) A New Six Point Finite Difference Scheme for Nonlinear Waves Interaction Model Mathematical Theory and Modeling Vol.3(3)ISSN 2224-5804 (Paper), ISSN 2225-0522 (Online).
Kumar, A. and Pankaj R. D.(2013)Solitary Wave Solutions of Schrödinger Equation by Laplace−Adomian Decomposition Method,Physical Review & Research International 3(4): 702-712
Kumar, A. and Pankaj R. D.(2014) Finite Difference Scheme for the Zakharov Equation as a Model for Nonlinear Wave-Wave Interaction in Ionic Media, International Journal of Scientific & Engineering Research, Volume 5, Issue 2, February-2014 759 ISSN 2229-5518
Kumar, A. and Pankaj R. D.(2014) Travelling Wave Solution of Klein-Gordon Zakharov Equation by First Integral Method, International Journal of Innovation in Science and Mathematics Volume 2, Issue 2, ISSN (Online): 2347–9051
Kumar, A. and Pankaj R. D.(2014) Tanh–coth scheme for traveling wave solutions for Nonlinear Wave Interaction model, Egyptian Mathematical Society Journal of the Egyptian Mathematical Society. 35C05; 35Q51; 35B10
Kumar, A. and Pankaj R. D.(2015) “Laplace-modified Decomposition Method For The Generalized Hiroota-satauma Coupled Kdv Equation”, Canadian Journal of Basic and Applied Sciences ,4(1),
Kumar, A., Pankaj R. D. and Chanwla. J (2015) “A Description of Non-linear Schrödinger Equation by modified Ex-function method IJSER 6(4)
Kumar, A., Pankaj R. D. and Chanwla. J (2015) First Integral Method for soliton Solution of Klein-Gordon Zakharov Equation international journal of recent scientific research,6(1)