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Interaction Between Kink Solitary Wave and Rogue Wave for (2+1)-Dimensional Burgers Equation

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Abstract

Based on a suitable ansätz approach and Hirota’s bilinear form, kink solitary wave, rogue wave and mixed exponential–algebraic solitary wave solutions of (2+1)-dimensional Burgers equation are derived. The completely non-elastic interaction between kink solitary wave and rogue wave for the (2+1)-dimensional Burgers equation are presented. These results enrich the variety of the dynamics of higher dimensional nonlinear wave field.

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Authors and Affiliations

  1. School of Science, Kunming University of Science and Technology, Kunming, 650500, People’s Republic of China

    Chuanjian Wang

  2. School of Mathematics and Statistics, Yunnan University, Kunming, 650091, People’s Republic of China

    Zhengde Dai

  3. Department of Mathematics and Physics, Wenshan University, Wenshan, 663000, People’s Republic of China

    Changfu Liu

Authors
  1. Chuanjian Wang
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  2. Zhengde Dai
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  3. Changfu Liu
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Correspondence to Chuanjian Wang.

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Wang, C., Dai, Z. & Liu, C. Interaction Between Kink Solitary Wave and Rogue Wave for (2+1)-Dimensional Burgers Equation. Mediterr. J. Math. 13, 1087–1098 (2016). https://doi.org/10.1007/s00009-015-0528-0

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  • DOI: https://doi.org/10.1007/s00009-015-0528-0

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