Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506792 | Applied Mathematics and Computation | 2005 | 12 Pages |
Abstract
We consider solitary-wave solutions of the combined Korteweg de Vries-Modified Korteweg de Vries (KdV-MKdV) equation. We prove the convergence of Adomian decomposition method (ADM) applied to the combined KdV-MKdV equation. Then we obtain the exact solitary-wave solutions and numerical solutions of the combined KdV-MKdV equation for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the combined KdV-MKdV equation.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
DogËan Kaya, Ibrahim E. Inan,