Eur. Phys. J. Plus (2013) 128: 132
https://doi.org/10.1140/epjp/i2013-13132-y

Regular Article

Exact multisoliton solutions of nonlinear Klein-Gordon equation in 1 + 2 dimensions

¹ Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
² Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

Received: 27 July 2013
Accepted: 13 October 2013
Published online: 6 November 2013

Abstract

This paper studies the nonlinear generalized Klein-Gordon equation in 1 + 2 dimensions. Exact multisoliton solution of this equation is obtained for the case of quadratic-law nonlinearity by the formal linearization method. Subsequently, exact travelling wave solutions of the generalized forms of Klein-Gordon equations in 1 + 2 dimensions are established by the modification of the truncated expansion method.