Click here to view fulltext PDF

Permanent link:
https://www.ias.ac.in/article/fulltext/pram/076/04/0533-0542

First integral method; modified Boussinesq equation; Fornberg–Whitham equation; nonlinear Schrödinger equation; travelling wave solutions.

This paper presents the first integral method to carry out the integration of nonlinear partial differential equations in terms of travelling wave solutions. For illustration, three important equations of mathematical physics are analytically investigated. Through the established first integrals, exact solutions are successfully constructed for the equations considered.

İsmail Aslan Aslan¹

1. Department of Mathematics, Izmir Institute of Technology, Urla, İzmir 35430, Turkey

Published

April 2011

Manuscript received

21 April 2010

Manuscript revised

8 October 2010

Accepted

9 November 2010