The \((\frac{G'}G)\)-expansion method for Tzitzéica type nonlinear evolution equations
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Publication:623096
DOI10.1016/j.mcm.2010.07.013zbMath1205.35009OpenAlexW2029224997MaRDI QIDQ623096
Publication date: 13 February 2011
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2010.07.013
trigonometric function solutionshyperbolic function solutionsTzitzéica equationDodd-Bullough-Mikhailov (DBM) equation\((\frac{G'}G)\)-expansion methodTzitzéica-Dodd-Bullough (TDB) equation
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Cites Work
- Unnamed Item
- Perturbation method for heat exchange between a gas and solid particles
- Application of Exp-function method to Symmetric Regularized Long Wave (SRLW) equation
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations
- New periodic wave solutions via Exp-function method
- New exact travelling wave solutions of nonlinear physical models
- Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
- A generalized \((\frac{G'}{G})\)-expansion method and its applications
- New application of the \((G'/G)\)-expansion method
- New applications of developed Jacobi elliptic function expansion methods
- Exp-function method for nonlinear wave equations
- Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method
- The \((G'/G)\)-expansion method and travelling wave solutions for a higher-order nonlinear Schrödinger equation
- A generalized \((\frac {G^\prime}{G})\)-expansion method and its application to the (2 + 1)-dimensional Broer-Kaup equations
- Analytic study on two nonlinear evolution equations by using the (\(G^{\prime}/G\))-expansion method
- On the validity and reliability of the (\(G^{\prime}/G\))-expansion method by using higher-order nonlinear equations
- Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations
- An unconditionally stable parallel difference scheme for telegraph equation
- Solving frontier problems of physics: the decomposition method
- The homotopy perturbation method for nonlinear oscillators with discontinuities.
- Soliton solutions and Bäcklund transformation for the Kupershmidt five-field lattice: A bilinear approach
- An improved algebra method and its applications in nonlinear wave equations
- Exact solutions for a compound KdV-Burgers equation
- A simple transformation for nonlinear waves.
- Application of the \(\frac{G^\prime}{G}\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations
- The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
- New periodic solutions for nonlinear evolution equations using Exp-function method
- Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
- The inverse scattering transform: Semi-infinite interval
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- Application of ModifiedG′/G-Expansion Method to Traveling Wave Solutions for Whitham–Broer–Kaup-Like Equations
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries