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Group Analysis and New Explicit Solutions of Simplified Modified Kawahara Equation with Variable Coefficients

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  • Gang-Wei Wang
  • Tian-Zhou Xu

Abstract

The simplified modified Kawahara equation with variable coefficients is studied by using Lie symmetry method. Then we obtain the corresponding Lie algebra, optimal system, and the similarity reductions. At last, we also give some new explicit solutions for some special forms of the equations.

Suggested Citation

  • Gang-Wei Wang & Tian-Zhou Xu, 2013. "Group Analysis and New Explicit Solutions of Simplified Modified Kawahara Equation with Variable Coefficients," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, October.
    • Handle: RePEc:hin:jnlaaa:139160
    DOI: 10.1155/2013/139160
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    Cited by:

    1. Hamood Ur Rehman & Ifrah Iqbal & Suhad Subhi Aiadi & Nabil Mlaiki & Muhammad Shoaib Saleem, 2022. "Soliton Solutions of Klein–Fock–Gordon Equation Using Sardar Subequation Method," Mathematics, MDPI, vol. 10(18), pages 1-10, September.
    2. Simbawa, Eman & Seadawy, Aly R. & Sugati, Taghreed G., 2021. "Dispersive wave propagation of the nonlinear Sasa-Satsuma dynamical system with computational and analytical soliton solutions," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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