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New exact travelling wave solutions of nonlinear evolution equation using a sub-equation

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  • Zhang, Huiqun

Abstract

By using new solutions of a subsidiary ordinary differential equation, a direct algebraic method is described to construct the exact travelling wave solutions for nonlinear evolution equation. By this method some nonlinear evolution equations are investigated and new exact travelling wave solutions are explicitly obtained with the aid of symbolic computation.

Suggested Citation

  • Zhang, Huiqun, 2009. "New exact travelling wave solutions of nonlinear evolution equation using a sub-equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 873-881.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:873-881
    DOI: 10.1016/j.chaos.2007.01.132
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    References listed on IDEAS

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    1. Zhang, Huiqun, 2005. "New exact travelling wave solutions for some nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 921-925.
    2. Wang, Dengshan & Zhang, Hong-Qing, 2005. "Further improved F-expansion method and new exact solutions of Konopelchenko–Dubrovsky equation," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 601-610.
    3. Zhang, Huiqun, 2007. "New exact Jacobi elliptic function solutions for some nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 653-660.
    4. Wang, Mingliang & Li, Xiangzheng, 2006. "Exact solutions to the double Sine-Gordon equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 477-486.
    5. Soliman, A.A. & Abdou, M.A., 2007. "Exact travelling wave solutions of nonlinear partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 808-815.
    6. 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.
    7. Zhang, Huiqun, 2006. "New exact solutions for the sinh-Gordon equation," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 489-496.
    8. Khuri, S.A., 2007. "Traveling wave solutions for nonlinear differential equations: A unified ansätze approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 252-258.
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    1. Zehra Pınar & Turgut Öziş, 2013. "The Periodic Solutions to Kawahara Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term," Journal of Mathematics, Hindawi, vol. 2013, pages 1-8, March.

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