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Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint

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  • Dai, Zhengde
  • Huang, Jian
  • Jiang, Murong
  • Wang, Shenghua

Abstract

In the present paper, we study the explicit homoclinic orbits solutions for “bad” Boussinesq equation with periodic boundary condition and even constraint, and periodic soliton solutions for “good” Boussinesq equation with even constraint.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:4:p:1189-1194
    DOI: 10.1016/j.chaos.2005.02.025
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    Cited by:

    1. Dai, Zhengde & Huang, Ying & Sun, Xing & Li, Donglong & Hu, Zhenhua, 2009. "Exact singular and non-singular solitary-wave solutions for Kadomtsev–Petviashvili equation with p-power of nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 946-951.
    2. 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.
    3. Ying Kong & Jia Geng, 2024. "Exact Periodic Wave Solutions for the Perturbed Boussinesq Equation with Power Law Nonlinearity," Mathematics, MDPI, vol. 12(13), pages 1-11, June.
    4. Huang, Jian & Dai, Zhengde, 2008. "Homoclinic solutions for Davey-Stewartson equation," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 996-1002.
    5. Gh. Forozani & M. Ghorveei Nosrat, 2013. "Solitary solution of modified bad and good Boussinesq equation by using of tanh and extended tanh methods," Indian Journal of Pure and Applied Mathematics, Springer, vol. 44(4), pages 497-510, August.
    6. Bratsos, A.G., 2009. "A predictor–corrector scheme for the improved Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2083-2094.

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