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

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Abstract.

In this paper, we focus on a \( (2+1)\)-dimensional generalized breaking soliton equation, which describes the \( (2+1)\)-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 \( (2+1)\)-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.

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Authors and Affiliations

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

    Zhonglong Zhao & Bo Han

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  1. Zhonglong Zhao
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  2. Bo Han
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Correspondence to Zhonglong Zhao.

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Zhao, Z., Han, B. Quasiperiodic wave solutions of a (2 + 1)-dimensional generalized breaking soliton equation via bilinear Bäcklund transformation. Eur. Phys. J. Plus 131, 128 (2016). https://doi.org/10.1140/epjp/i2016-16128-1

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  • DOI: https://doi.org/10.1140/epjp/i2016-16128-1

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