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Steady bifurcation and solitary waves of the perturbed PHI-four equation

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Abstract

In this paper, steady bifurcation and solitary waves of the perturbed PHI-four equation are investigated. Steady bifurcation, bistability and bi-instability are analyzed by selecting the perturbation term as the bifurcation control parameter. Furthermore, we obtain different conditions for the existence of solitary or shock waves and all kinds of the solitary and shock wave solutions by direct integration.

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Authors and Affiliations

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

    Shaojie Yang & Tianzhou Xu

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  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 the perturbed PHI-four equation. Nonlinear Dyn 89, 2227–2232 (2017). https://doi.org/10.1007/s11071-017-3580-4

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  • DOI: https://doi.org/10.1007/s11071-017-3580-4

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