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Steady bifurcation and solitary waves of modified equal width equation

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Abstract.

In this paper, steady bifurcation and solitary waves of modified equal width equation are presented. Steady bifurcation, bistability and bi-instability are analyzed by selecting the integration constant as the bifurcation control parameter. Different conditions expressed in terms of the bifurcation control parameter give the existence of solitary waves. In particular, all kinds of solitary wave solutions are given by direct integration.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Beijing Institute of Technology, 100081, Beijing, China

    Shaojie Yang & Tianzhou Xu

Authors
  1. Shaojie Yang
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  2. Tianzhou Xu
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Correspondence to Shaojie Yang.

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Yang, S., Xu, T. Steady bifurcation and solitary waves of modified equal width equation. Eur. Phys. J. Plus 132, 369 (2017). https://doi.org/10.1140/epjp/i2017-11567-8

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  • DOI: https://doi.org/10.1140/epjp/i2017-11567-8

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