Travelling wave solutions of nonlinear systems of PDEs by using the functional variable method

Author:

Aminikhah Hossein1ORCID,Refahi Sheikhani Amir Hosein2ORCID,Rezazadeh Hadi1ORCID

Affiliation:

1. University of Guilan

2. Islamic Azad University

Abstract

In this paper, we will use the functional variable method to construct exact solutions of some nonlinear systems of partial differential equations, including, the (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation, the WhithamBroer-Kaup-Like systems and the Kaup-Boussinesq system. This approach can also be applied to other nonlinear systems of partial differential equations which can be converted to a second-order ordinary differential equation through the travelling wave transformation.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

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