On the Exact Solution for Nonlinear Partial Differential Equations

Author(s):

Marzieh Khalili *

Abstract:
In this study, we aim to construct a traveling wave solution for nonlinear partial differential equations. In this regards, a cosine-function method is used to find and generate the exact solutions for three different types of nonlinear partial differential equations such as general regularized long wave equation (GRLW), general Korteweg-de Vries equation (GKDV) and general equal width wave equation (GEWE) which are the major soliton equations.
Keywords:

Nonlinear PDEs , GRLW , GKDV , GEWE , Cosine-function

Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:1 Issue: 2, Summer and Autumn 2016
Pages:
73 to 78
https://www.magiran.com/p1696925