Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations

AUTOR(ES)

Lee, Jonu, Sakthivel, Rathinasamy

FONTE

Comput. Appl. Math.

DATA DE PUBLICAÇÃO

2012

RESUMO

In this paper, we implement the tanh-coth function method to construct the travelling wave solutions for (N + 1)-dimensional nonlinear evolution equations. Four models, namely the (N + 1)-dimensional generalized Boussinesq equation, (N + 1)-dimensional sine-cosine-Gordon equation, (N + 1)-double sinh-Gordon equation and (N + 1)-sinh-cosinh-Gordon equation, are used as vehicles to conduct the analysis. These equations play a very important role in mathematical physics and engineering sciences. The implemented algorithm is quite efficient and is practically well suited for these problems. The computer symbolic systems such as Maple and Mathematica allow us to perform complicated and tedious calculations. Mathematical subject classification: 35K58, 35C06, 35A25.

Documentos Relacionados

• Study of exact solutions of nonlinear heat equations
• EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EQUATIONS OF EVOLUTION*
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Lower bounds for the life-span of solutions of nonlinear wave equations in three dimensions
• Numerical Analysis and Approximate Travelling Wave Solutions for a Higher Order Internal Wave System