A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations
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Publication:556125
DOI10.1016/j.amc.2004.06.012zbMath1070.65102OpenAlexW2047421028MaRDI QIDQ556125
Publication date: 13 June 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2004.06.012
Numerical examplesCoupled higher-dimensional Burgers equationsExact periodic solutionsModified Adomian decomposition method
KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
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- A review of the decomposition method in applied mathematics
- Bäcklund transformations and their applications
- Solving frontier problems of physics: the decomposition method
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation.
- The use of Adomian decomposition method for solving a specific nonlinear partial differential equation
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- Comparing numerical methods for the solutions of systems of ordinary differential equations.
- On the solution of the coupled Schrödinger-KdV equation by the decomposition method
- Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation
- A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
- A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
- Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
- Adomian's polynomials for nonlinear operators
- New applications of a further extended tanh method
- The use of Adomian decomposition method for solving the one-dimensional parabolic equation with non-local boundary specifications
- An application of the decomposition method for second order wave equations
- On the solution of a korteweg-de vries like equation by the decomposition method
- Pattern formation outside of equilibrium
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support
