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Explicit and exact travelling wave solutions for Konopelchenko–Dubrovsky equation

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  • Li, Bacui
  • Zhang, Yufeng

Abstract

Based on a first-order nonlinear ordinary differential equation with a sixth-degree nonlinear term, a transformation method and its algorithm are proposed, which are powerful and simple. We choose the Konopelchenko–Dubrovsky equation to illustrate our method. Consequently, many new solutions are obtained. This approach can be also applied to solve other nonlinear differential equations.

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  • Li, Bacui & Zhang, Yufeng, 2008. "Explicit and exact travelling wave solutions for Konopelchenko–Dubrovsky equation," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1202-1208.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:4:p:1202-1208
    DOI: 10.1016/j.chaos.2007.01.059
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    References listed on IDEAS

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    1. Huang, Ding-jiang & Li, De-sheng & Zhang, Hong-qing, 2007. "Explicit and exact travelling wave solutions for the generalized derivative Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 586-593.
    2. Wu, Ranchao & Sun, Jianhua, 2007. "Soliton-like solutions to the GKdV equation by extended mapping method," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 70-74.
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    Cited by:

    1. Sivenathi Oscar Mbusi & Ben Muatjetjeja & Abdullahi Rashid Adem, 2021. "Lagrangian Formulation, Conservation Laws, Travelling Wave Solutions: A Generalized Benney-Luke Equation," Mathematics, MDPI, vol. 9(13), pages 1-6, June.
    2. Ye, Caier & Zhang, Weiguo, 2015. "Approximate damped oscillatory solutions and error estimates for the perturbed Klein–Gordon equation," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 49-57.

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