New Complexiton Solutions of the KdV and Coupled KdV Equations

Abstract

A new approach to double-sub equation method is introduced to construct novel solutions for the nonlinear partial differential equations. It is applied to the Korteweg-de Vries (KdV) equation and yields new complexiton solutions of both the KdV and coupled KdV equations. The graphs of the solutions are also illustrated.

arXiv comment16 pages, 32 figures