The explicit solutions to the higher order modified Korteweg-de Vries equation with initial condition are calculated by using the Adomian decomposition method. To illustrate the application of this method, numerical results are obtained and compared for the third-and fourth-order generalized nonline
The decomposition method for solving the coupled modified KdV equations
β Scribed by A.A. Soliman; M.A. Abdou
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 440 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0895-7177
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π SIMILAR VOLUMES
By using some exact solutions of an auxiliary ordinary differential equation, a new direct algebraic method is described to construct the exact complex solutions for nonlinear partial differential equations. The method is implemented for the complex coupled KdV equations and modified KdV equation. N
We consider solitary-wave solutions of the generalized regularized long-wave (RLW) and Korteweg-de Vries (KdV) equations. We prove the convergence of Adomian decomposition method applied to the generalized RLW and KdV equations. Then we obtain the exact solitary-wave solutions and numerical solution