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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605
Volume 5, Issue 1, Febraury 2013 pp 01-05
Laplace - Modified Decomposition Method to Study Solitary Wave Solutions of Coupled Nonlinear Klein-Gordon Schrödinger Equation
Ram Dayal Pankaj
Department of Mathematics and Statistics, J. N. V. University, Jodhpur, Rajasthan, INDIA.
Academic Editor: Dr. Dase R.K.
Analytical and numerical solutions are obtained for coupled Klein-Gordon Schrödinger Equation by the well-known Laplace Modified decomposition method [LMDM]. We combined Laplace transform and Modified decomposition method and present a new approach for solving Coupled Klein-Gordon Schrödinger equation. The method does not need linearization, weak nonlinearity assumptions, or perturbation theory. We compared the numerical solutions with corresponding analytical solutions.