A generalized extended rational expansion method and its application to \((1+1)\)-dimensional dispersive long wave equation
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Publication:1026302
DOI10.1016/j.amc.2009.02.020zbMath1166.65387OpenAlexW1971182924MaRDI QIDQ1026302
Publication date: 24 June 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.02.020
exact solutions\((1+1)\)-dimensional dispersive long wave equationtanh function methodrational solitary wave solutionsextended rational expansion methodrational triangular periodic wave solutions
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Higher-order nonlinear hyperbolic equations (35L75)
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Cites Work
- Unnamed Item
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive \(mK(m,n)\) equations
- Soliton excitations and periodic waves without dispersion relation in shallow water system.
- General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order
- Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
- Applications of the Jacobi elliptic function method to special-type nonlinear equations
- Generalized extended tanh-function method and its application to \((1+1)\)-dimensional dispersive long wave equation
- Exact travelling wave solutions for a class of nonlinear partial differential equations
- Solitary wave solutions for variant Boussinesq equations
- New extended rational expansion method and exact solutions of Boussinesq equation and Jimbo-Miwa equations
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
- Mathematics of dispersive water waves
- Extended tanh-function method and its applications to nonlinear equations
- Finding Eigenvalue Problems for Solving Nonlinear Evolution Equations
- Solitary wave solutions of nonlinear wave equations
- Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
- Approximate equations for long water waves
- New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations
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