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New periodic soliton solutions for the (3+1)-dimensional potential-YTSF equation

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  • Zeng, Xiping
  • Dai, Zhengde
  • Li, Donglong

Abstract

New exact periodic kink-wave, periodic soliton and doubly periodic wave solutions for the (3+1)-dimensional potential-YTSF equation are obtained by using homoclinic test technique, extended homoclinic test technique, two-soliton method and bilinear form method, respectively.

Suggested Citation

  • Zeng, Xiping & Dai, Zhengde & Li, Donglong, 2009. "New periodic soliton solutions for the (3+1)-dimensional potential-YTSF equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 657-661.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:657-661
    DOI: 10.1016/j.chaos.2009.01.040
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    2. Dai, Zhengde & Li, Shaolin & Dai, Qingyun & Huang, Jian, 2007. "Singular periodic soliton solutions and resonance for the Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1148-1153.
    3. Wang, Mingliang & Li, Xiangzheng, 2005. "Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1257-1268.
    4. Dai, Zhengde & Huang, Jian & Jiang, Murong & Wang, Shenghua, 2005. "Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1189-1194.
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    Cited by:

    1. Mohammed K. Elboree, 2014. "Applications of the extended test approach to (2 + 1)-dimensional Gardner equation," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(4), pages 433-441, August.

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