Laplace Decomposition Method to Study Solitary Wave Solutions of Coupled Nonlinear Partial Differential Equation. (4th September 2012)

• Record Type: Journal Article
• Authors: Kumar, Arun; Pankaj, Ram Dayal
• Other Names: Amodio P. Academic Editor.; Heath L. S. Academic Editor.
• Is Part Of: ISRN computational mathematics. Volume 2012(2012)
• Publication Date: 2012-09-04
• Subjects: Numerical analysis -- Periodicals; Mathematics -- Data processing -- Periodicals; Mathematics -- Data processing; Numerical analysis; Electronic journals; Periodicals; 510
• DOI: 10.5402/2012/423469
• Languages: English
• ISSNs: 2090-7842

Abstract

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