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(2+1)-dimensional Jaulent–Miodek equation; the first integral method; kinks; solitons.

In this paper, we have presented the applicability of the first integral method for constructing exact solutions of (2+1)-dimensional Jaulent–Miodek equations. The first integral method is a powerful and effective method for solving nonlinear partial differential equations which can be applied to nonintegrable as well as integrable equations. The present paper confirms the significant features of the method employed and exact kink and soliton solutions are constructed through the established first integrals.

M Matinfar¹ M Eslami¹ S Roshandel¹

1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

Published

October 2015

Manuscript received

10 April 2014

Manuscript revised

29 May 2014

Accepted

21 August 2014

Early published

9 July 2015