A further improved extended Fan sub-equation method for \((2+1)\)-dimensional breaking soliton equations

DOI10.1016/j.amc.2007.09.052zbMath1187.35201OpenAlexW2157843964MaRDI QIDQ924408

Sheng Zhang

Publication date: 16 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.09.052

zbMATH Keywords

symbolic computationsoliton-like solutionsJacobi elliptic wave function-like solutionstriangular-like solutionsWeierstrass elliptic doubly-like periodic solutionsfan sub-equation method

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Soliton equations (35Q51) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items

The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations ⋮ Painlevé integrability and new exact solutions of the \((4 + 1)\)-dimensional Fokas equation ⋮ Auxiliary equation method for the mKdV equation with variable coefficients ⋮ A direct method for constructing the traveling wave solutions of a modified generalized Vakhnenko equation ⋮ The compound \(\left(\frac{G'}{G}\right)\)-expansion method and double non-traveling wave solutions of \((2+1)\)-dimensional nonlinear partial differential equations ⋮ The improved \((\frac{G^{\prime}}{G})\)-expansion method and its applications to the Broer-Kaup equations and approximate long water wave equations ⋮ New application of \((G'/G)\)-expansion method to a nonlinear evolution equation ⋮ New general solutions for the general elliptic and auxiliary equations and application to the coupled KdV equation ⋮ A generalized \((\frac {G^\prime}{G})\)-expansion method and its application to the (2 + 1)-dimensional Broer-Kaup equations ⋮ A series of abundant exact travelling wave solutions for a modified generalized Vakhnenko equation using auxiliary equation method ⋮ Lie symmetry reductions and dynamics of solitary wave solutions of breaking soliton equation

Uses Software

• Mathematica

Cites Work

• Unnamed Item
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