JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (8): 88-94.doi: 10.6040/j.issn.1671-9352.0.2021.615

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Bifurcation phenomena and nonlinear wave solutions of BKK equation

HAN Qing-xiu, LIU Hong-xia, WU Yun*   

  1. School of Mathematics Science, Guizhou Normal University, Guiyang 550025, Guizhou, China
  • Online:2022-08-20 Published:2022-06-29

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Abstract: The bifurcation phenomena and nonlinear wave solutions of Broer-Kaup-Kupershmidt(BKK)equation are studied. Firstly, the first integral and singularities of the BKK equation are obtained by travelling wave transformation. Then the bifurcation phase portraits of the BKK equation in each region are presented by using the bifurcation method and qualitative theory of dynamical systems, and some nonlinear wave solutions of the equation are obtained. Furthermore, three bifurcation phenomena of kink wave are revealed. Finally, Maple software is used to simulate these bifurcation phenomena.

Key words: Broer-Kaup-Kupershmidt equation, nonlinear wave solution, bifurcation phenomenon

CLC Number: 

  • O175.29
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