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

Lingxiao Li, Mingliang Wang and Jinliang Zhang
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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
Jinliang Zhang: School of Mathematics & Statistics, Henan University of Science & Technology, Luoyang 471000, China

Mathematics, 2022, vol. 10, issue 3, 1-8

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.

Keywords: STO equation; nonlinear transformation; SHB method; solution of initial (-boundary) value problem; linear KdV equation; Fourier transformation; an even (odd) extension technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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