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Symbolic computation and non-travelling wave solutions of (2+1)-dimensional nonlinear evolution equations

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  • Wang, Deng-Shan
  • Li, Hongbo

Abstract

In this paper, the multiple Riccati equations rational expansion method is further extended to construct non-travelling wave solutions of the (2+1)-dimensional Painlevé integrable Burgers equation and the (2+1)-dimensional Breaking soliton equation, as a result, some double solitary-like wave solutions and complexiton solutions of the two equations are obtained. The extended method can also be applied to solve some other nonlinear evolution equations.

Suggested Citation

  • Wang, Deng-Shan & Li, Hongbo, 2008. "Symbolic computation and non-travelling wave solutions of (2+1)-dimensional nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 383-390.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:2:p:383-390
    DOI: 10.1016/j.chaos.2007.07.062
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    References listed on IDEAS

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    1. Xie, Fuding & Zhang, Ying & Lü, Zhuosheng, 2005. "Symbolic computation in non-linear evolution equation: application to (3+1)-dimensional Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 257-263.
    2. Dengshan Wang & Hong-Qing Zhang, 2005. "Auto-Bäcklund Transformation And New Exact Solutions Of The(2 + 1)-Dimensional Nizhnik–Novikov–Veselov Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 393-412.
    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.
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    1. Çelik, Nisa & Tetik, Duygu, 2024. "New dynamical analysis of the exact traveling wave solutions to a (3+1)-dimensional Gardner-KP equation by three efficient architecture," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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