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Soliton-like Solutions of General Variable Coefficient Cylindrical/Spherical KdV Equation

Author

Listed:
  • Lingxiao Li

    (School of Mathematics & Statistics, Henan University of Science & Technology, Luoyang 471000, China)

  • Mingliang Wang

    (School of Mathematics & Statistics, Henan University of Science & Technology, Luoyang 471000, China
    School of Mathematics & Statistics, Lanzhou University, Lanzhou 730000, China)

Abstract

The general variable coefficient cylindrical/spherical KdV equation has been investigated by using the simplified homogeneous balance method. It has been proven that if its coefficients satisfy certain constraint conditions, then the cylindrical/spherical KdV equation has a nonlinear transformation that converts the solution of the quadratic form equation into the solution of the cylindrical/spherical KdV equation. The quadratic form equation admits a series of solutions expressed by the exponential functions, therefore one soliton-like solution and multi soliton-like solutions of the cylindrical/spherical KdV equation can be obtained exactly.

Suggested Citation

  • Lingxiao Li & Mingliang Wang, 2022. "Soliton-like Solutions of General Variable Coefficient Cylindrical/Spherical KdV Equation," Mathematics, MDPI, vol. 10(17), pages 1-8, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3117-:d:902059
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    References listed on IDEAS

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    1. Demiray, Hilmi, 2020. "Analytical solution for nonplanar waves in a plasma with q-nonextensive nonthermal velocity distribution: Weighted residual method," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
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