Abundant exact and explicit solitary wave and periodic wave solutions to the Sharma-Tasso-Olver equation

DOI10.1016/j.amc.2008.02.034zbMath1151.65076OpenAlexW2013207138MaRDI QIDQ942373

Jinghong Qin, Yadong Shang, Yong Huang, Wen-Jun Yuan

Publication date: 5 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.02.034

zbMATH Keywords

periodic wave solutionssolitary wave solutionsSharma-Tasso-Olver equationextended hyperbolic function method

Mathematics Subject Classification ID

Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (15)

A FRACTAL MODIFICATION OF THE SHARMA–TASSO–OLVER EQUATION AND ITS FRACTAL GENERALIZED VARIATIONAL PRINCIPLE ⋮ Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy ⋮ On the formulaic solution of a \((n+1)\)th order differential equation ⋮ Special polynomials associated with the Burgers hierarchy ⋮ Symbolic computation and the extended hyperbolic function method for constructing exact traveling solutions of nonlinear PDEs ⋮ The extended hyperbolic function method for generalized forms of nonlinear heat conduction and Huxley equations ⋮ The Bäcklund transformations and abundant exact explicit solutions for a general nonintegrable nonlinear convection-diffusion equation ⋮ Bäcklund transformations and abundant exact explicit solutions of the Sharma-Tasso-Olver equation ⋮ CTE Solvability, Exact Solutions and Nonlocal Symmetries of the Sharma–Tasso–Olver Equation ⋮ Modified simple equation method for nonlinear evolution equations ⋮ Reduction of the Sharma-Tasso-Olver equation and series solutions ⋮ The Bäcklund transformations and abundant explicit exact solutions for the AKNS-SWW equation ⋮ New abundant exact solutions for the \((2 + 1)\)-dimensional generalized Nizhnik-Novikov-Veselov system ⋮ Exact solutions of equations for the Burgers hierarchy ⋮ Self-similar solutions of the Burgers hierarchy

Cites Work

• Symmetries and exact solutions of the Sharma-Tass-Olver equation
• Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
• New solitons and kinks solutions to the Sharma-Tasso-Olver equation
• The extended hyperbolic function method and exact solutions of the long-short wave resonance equations

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