The \((G'/G,1/G)\)-expansion method and its application to travelling wave solutions of the Zakharov equations
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Publication:716538
DOI10.1007/s11766-010-2128-xzbMath1240.35463OpenAlexW1998554996MaRDI QIDQ716538
Erqiang Li, Ming-Liang Wang, Ling-Xiao Li
Publication date: 29 September 2011
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11766-010-2128-x
travelling wave solutionssolitary wave solutionsZakharov equationshomogeneous balancethe \((G'/G, 1/G)\)-expansion method
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Uses Software
Cites Work
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- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Sub-ODE method and solitary wave solutions for higher order nonlinear Schrödinger equation
- The extended hyperbolic functions method and new exact solutions to the Zakharov equations
- Exp-function method for nonlinear wave equations
- The \((G'/G)\)-expansion method and travelling wave solutions for a higher-order nonlinear Schrödinger equation
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- The periodic wave solutions for the Klein-Gordon-Schrödinger equations
- Solitary wave solutions for variant Boussinesq equations
- Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
- Compact and noncompact physical structures for the ZK-BBM equation
- Complex Tanh-Function Expansion Method and Exact Solutions to Two Systems of Nonlinear Wave Equations
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
- New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
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