An application for a generalized KdV equation by the decomposition method
| Autor: | Mohammed Aassila, Dogan Kaya |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Physics
Vries equation Nonlinear Sciences::Exactly Solvable and Integrable Systems Mathematics::Analysis of PDEs General Physics and Astronomy Applied mathematics Decomposition method (queueing theory) Initial value problem Korteweg–de Vries equation Nonlinear Sciences::Pattern Formation and Solitons Adomian decomposition method |
| Zdroj: | Physics Letters A. 299:201-206 |
| ISSN: | 0375-9601 |
| DOI: | 10.1016/s0375-9601(02)00652-7 |
| Popis: | The explicit solutions to a generalized Korteweg–de Vries equation (KdV for short) with initial condition are calculated by using the Adomian decomposition method. Using this approach we obtained for the numerical solutions of initial-value KdV equation. Numerical illustrations on well-known KdV equation with the rational and solitary wave solutions indicate that the decomposition method is efficient and accurate. In addition, an illustration of the self canceling phenomena is also given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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