\(F\)-expansion method and its application for finding new exact solutions to the sine-Gordon and sinh-Gordon equations

DOI10.1016/j.amc.2012.07.021zbMath1288.35154OpenAlexW2048932649MaRDI QIDQ2449226

Ye Tian, Zhe Zhang, Wenwu Li

Publication date: 7 May 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.07.021

zbMATH Keywords

Jacobian elliptic functionpolynomial nonlinear evolution equations

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

The generalized kudryashov method for new closed form traveling wave solutions to some NLEEs ⋮ \(F\)-expansion method and its application for finding new exact solutions to the Kudryashov-Sinelshchikov equation ⋮ Painlevé analysis and exact solutions of the fourth-order equation for description of nonlinear waves ⋮ Solitary wave solutions of some nonlinear physical models using Riccati equation approach ⋮ Bifurcations and some new traveling wave solutions for the CH-\({\gamma}\) equation ⋮ Exact similarity and traveling wave solutions to an integrable evolution equation for surface waves in deep water ⋮ Investigation of interaction solutions for modified Korteweg-de Vries equation by consistent Riccati expansion method ⋮ Comment on: ``An observation on the periodic solutions to nonlinear physical models by means of the auxiliary equation with a sixth-degree nonlinear term ⋮ Exp-function method for a generalized MKdV equation

Cites Work

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