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Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (8): 999-1005 .doi: https://doi.org/10.1007/s10483-007-0802-1

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Bifurcations of travelling wave solutions for Jaulent-Miodek equations

FENG Da-he, LI Ji-bin   

    1. Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China;
    2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China
  • Received:2006-01-03 Revised:2007-03-29 Online:2007-08-18 Published:2007-08-18
  • Contact: FENG Da-he

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Abstract: By using the theory of bifurcations of planar dynamic systems to the coupled Jaulent-Miodek equations, the existence of smooth solitary travelling wave solutions and uncountably infinite many smooth periodic travelling wave solutions is studied and the bifurcation parametric sets are shown. Under the given parametric conditions, all possible representations of explicit exact solitary wave solutions and periodic wave solutions are obtained.

Key words: Jaulent-Miodek equations, solitary wave, periodic travelling wave solution

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