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Auto-Bäcklund Transformation And New Exact Solutions Of The(2 + 1)-Dimensional Nizhnik–Novikov–Veselov Equation

Author

Listed:
  • DENGSHAN WANG

    (Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P. R. China)

  • HONG-QING ZHANG

    (Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P. R. China)

Abstract

In this paper, making use of the truncated Laurent series expansion method and symbolic computation we get the auto-Bäcklund transformation of the(2 + 1)-dimensional Nizhnik–Novikov–Veselov equation. As a result, single soliton solution, single soliton-like solution, multi-soliton solution, multi-soliton-like solution, the rational solution and other exact solutions of the(2 + 1)-dimensional Nizhnik–Novikov–Veselov equation are found. These solutions may be useful to explain some physical phenomena.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:03:n:s0129183105007200
    DOI: 10.1142/S0129183105007200
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    Citations

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    Cited by:

    1. Wang, Deng-Shan & Li, Hong-Bo & Wang, Jike, 2008. "The novel solutions of auxiliary equation and their application to the (2+1)-dimensional Burgers equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 374-382.
    2. Yusufoğlu, Elcin & Bekir, Ahmet, 2008. "Exact solutions of coupled nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 842-848.
    3. 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.

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