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Derivation of Korteweg-de Vries flow equations from the regularized long-wave (RLW) equation |
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| Authors: | Mehmet Naci Ö zer |
| Affiliation: | a Department of Mathematics, Art and Science Faculty, Eski?ehir Osmangazi University, 26480 Eski?ehir, Turkey b Department of Elementary Education, Education Faculty, Anadolu University, 26470 Eski?ehir, Turkey |
| Abstract: | We perform a multiple-time scales analysis and compatibility condition to the regularized long-wave (RLW) equation. We derive Korteweg-de Vries (KdV) flow equation in the bi-Hamiltonian form as an amplitude equation. |
| Keywords: | Regularized long-wave (RLW) equation KdV equation Multiple-time scales |
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