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The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver 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)

  • Jinliang Zhang

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

Abstract

A nonlinear transformation from the solution of linear KdV equation to the solution of Sharma-Tasso-Olver (STO) equation is derived out by using simplified homogeneous balance (SHB) method. According to the nonlinear transformation derived here, the exact explicit solution of initial (-boundary) value problem for STO equation can be constructed in terms of the solution of initial (-boundary) value problem for the linear KdV equation. The exact solution of the latter problem is obtained by using Fourier transformation.

Suggested Citation

  • Lingxiao Li & Mingliang Wang & Jinliang Zhang, 2022. "The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation," Mathematics, MDPI, vol. 10(3), pages 1-8, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:441-:d:738414
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    References listed on IDEAS

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    1. Erbaş, Barış & Yusufoğlu, Elçin, 2009. "Exp-function method for constructing exact solutions of Sharma–Tasso–Olver equation," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2326-2330.
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