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Doubly periodic solutions of the modified Kawahara equation

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  • Zhang, Dan

Abstract

Some doubly periodic (Jacobi elliptic function) solutions of the modified Kawahara equation are presented in closed form. Our approach is to introduce a new auxiliary ordinary differential equation and use its Jacobi elliptic function solutions to construct doubly periodic solutions of the modified Kawahara equation. When the module m→1, these solutions degenerate to the exact solitary wave solutions of the equation. Then we reveal the relation of some exact solutions for the modified Kawahara equation obtained by other authors.

Suggested Citation

  • Zhang, Dan, 2005. "Doubly periodic solutions of the modified Kawahara equation," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1155-1160.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:5:p:1155-1160
    DOI: 10.1016/j.chaos.2004.11.084
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    Cited by:

    1. Fateme Torabi & Reza Pourgholi, 2023. "Application of sextic B-spline collocation method for solving inverse the modified Kawahara equation," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(2), pages 649-662, June.
    2. Çulha Ünal, Sevil & Daşcıoğlu, Ayşegül & Varol Bayram, Dilek, 2020. "New exact solutions of space and time fractional modified Kawahara equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).

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