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Dynamics of kinky wave for (\(3+1\))-dimensional potential Yu–Toda–Sasa–Fukuyama equation

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Abstract

Exact kinky breather-wave solutions for the (\(3\,{+}\,1\))-dimensional potential Yu–Toda–Sasa–Fukuyama equation are obtained by using extended homoclinic test technique. Based on the kinky breather-wave solution, rational breather-wave solution is generated by homoclinic breather limit method. Some new dynamical features of kinky wave are presented, including kink degeneracy, rational breather wave is drowned or swallowed up by kinky wave in the interaction between rational breather wave and kinky wave. These results enrich the variety of the dynamics of higher dimensional nonlinear wave field.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Jishou University, Jishou, 416000, China

    Wei Tan

  2. School of Mathematics and Statistics, Yunnan University, Kunming, 650091, China

    Zhengde Dai

Authors
  1. Wei Tan
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  2. Zhengde Dai
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Correspondence to Zhengde Dai.

Additional information

This work was supported by Chinese Natural Science Foundation Grant Nos. 11361048 and 11161055.

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Tan, W., Dai, Z. Dynamics of kinky wave for (\(3+1\))-dimensional potential Yu–Toda–Sasa–Fukuyama equation. Nonlinear Dyn 85, 817–823 (2016). https://doi.org/10.1007/s11071-016-2725-1

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  • DOI: https://doi.org/10.1007/s11071-016-2725-1

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