Laplace decomposition method to study solitary wave solutions of coupled nonlinear partial differential equation (Q693702)

Summary: Analytical and numerical solutions are obtained for coupled nonlinear partial differential equation by the well-known Laplace decomposition method. We combine the Laplace transform and the Adomian decomposition method and present a new approach for solving the coupled Schrödinger-Korteweg-de Vries (Sch-KdV) equation. The method does not need linearization, weak nonlinearity assumptions, or perturbation theory. We compare the numerical solutions with the corresponding analytical solutions.