• Dr. Purushottam Singh
• Dr. Ranprakash Somani

In this paper, exact and numerical solutions are obtained for coupled Schrödinger–Korteweg–de Vries (Sch–KdV) equation by the well known Laplace decomposition method. The Adomian decomposition method (ADM) is an analytical method to solve linear and nonlinear equations and gives the solution a series form. we combine Laplace transform and ADM and present a new approach for solving coupled Schrödinger–Korteweg–de Vries (Sch–KdV) equation which is an imaginary equation, with initial condition The method does not need linearization, weak nonlinearity assumptions or perturbation theory.We compare the numerical solutions with corresponding analytical solutions.

Coupled Schrödinger–KdV equation; Laplace decomposition method; Adomian decomposition method; solitary wave solution; Numerical solution.

"LAPLACE-DECOMPOSITION METHOD TO STUDY SOLITARY WAVE SOLUTIONS OF COUPLED NON LINEAR PARTIAL DIFFERENTIAL EQUATION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 1, page no.17-22, January-2018, Available :http://www.jetir.org/papers/JETIR1801320.pdf

"LAPLACE-DECOMPOSITION METHOD TO STUDY SOLITARY WAVE SOLUTIONS OF COUPLED NON LINEAR PARTIAL DIFFERENTIAL EQUATION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 1, page no. pp17-22, January-2018, Available at : http://www.jetir.org/papers/JETIR1801320.pdf