Exact and numerical solutions of generalized Drinfeld-Sokolov equations
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Publication:637473
DOI10.1016/j.physleta.2008.01.003zbMath1220.74027OpenAlexW2091744454MaRDI QIDQ637473
Publication date: 2 September 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2008.01.003
Adomian's decomposition methodnumerical solutionsexact traveling wave solutionsgeneralized Drinfeld-Sokolov equationstanh function method
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Related Items (9)
ADM-Padé solutions for generalized Burgers and Burgers-Huxley systems with two coupled equations ⋮ Differential transform method with complex transforms to some nonlinear fractional problems in mathematical physics ⋮ Trigonometric and hyperbolic type solutions to a generalized Drinfel'd-Sokolov equation ⋮ CONSTRUCTION OF FRACTAL SOLITON SOLUTIONS FOR THE FRACTIONAL EVOLUTION EQUATIONS WITH CONFORMABLE DERIVATIVE ⋮ Traveling wave solutions \((u,\nu)\) to a generalized Drinfel'd-Sokolov system which satisfy \(u=a_1\nu^m+a_0\) ⋮ Some interesting bifurcations of nonlinear waves for the generalized Drinfel'd-Sokolov system ⋮ Explicit and exact solutions to cubic Duffing and double-well Duffing equations ⋮ Soliton solutions of a few nonlinear wave equations ⋮ Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6
Uses Software
Cites Work
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- Analytic method for solitary solutions of some partial differential equations
- A review of the decomposition method in applied mathematics
- A reliable modification of Adomian decomposition method
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- Convergence of Adomian's method applied to differential equations
- Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA
- An alternate algorithm for computing Adomian polynomials in special cases
- An application of the decomposition method for the generalized KdV and RLW equations
- Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method
- Comparing numerical methods for Helmholtz equation model problem.
- The decomposition method for studying the Klein-Gordon equation
- New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation
- A new algorithm for calculating Adomian polynomials for nonlinear operators
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- New exact solitary wave solutions of the KS equation
- On the solution of the coupled Schrödinger-KdV equation by the decomposition method
- On a generalized fifth order KdV equation
- New multiple soliton-like solutions to the generalized \((2+1)\)-dimensional KP equation
- New ideas for proving convergence of decomposition methods
- Adomian's polynomials for nonlinear operators
- Exact solutions for a compound KdV-Burgers equation
- Travelling solitary wave solutions to a seventh-order generalized KdV equation
- Travelling solitary wave solutions to a compound KdV-Burgers equation.
- Extended tanh-function method and its applications to nonlinear equations
- A new formulation of Adomian method
- Solitary wave solutions of nonlinear wave equations
- Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
- Bäcklund transformations: exact solutions for the KdV and the Calogero-Degasperis-Fokas mKdV equations
- New numerical study of Adomian method applied to a diffusion model
- On the solution of a korteweg-de vries like equation by the decomposition method
- Modified extended tanh-function method for solving nonlinear partial differential equations
- A new method of exact travelling wave solution for coupled nonlinear differential equations
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support
- The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation
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