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
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Revised: 17 March 2016
Accepted: 17 March 2016
Published online: 4 May 2016
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016