Eur. Phys. J. Plus (2016) 131: 128
https://doi.org/10.1140/epjp/i2016-16128-1

Regular Article

Quasiperiodic wave solutions of a (2 + 1)-dimensional generalized breaking soliton equation via bilinear Bäcklund transformation

Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, P. R. China

^* e-mail: zhaozlhit@163.com

Received: 17 January 2016
Revised: 17 March 2016
Accepted: 17 March 2016
Published online: 4 May 2016

Abstract

In this paper, we focus on a -dimensional generalized breaking soliton equation, which describes the -dimensional interaction of a Riemann wave propagating along the y -direction with a long wave along the x-direction. Based on a multidimensional Riemann theta function, the quasiperiodic wave solutions of a -dimensional generalized breaking soliton equation are investigated by means of the bilinear Bäcklund transformation. The relations between the quasiperiodic wave solutions and the soliton solutions are rigorously established by a limiting procedure. The dynamical behaviors of the quasiperiodic wave solutions are discussed by presenting the numerical figures.