The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation |
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| Authors: | Yinping Liu Zhibin Li |
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| Affiliation: | 1. Cankaya University, Department of Mathematics, Ö?retmenler Cad. 1406530, Ankara, Türkiye;2. Institute of Space Sciences, Magurele, Bucharest, Romania;3. Firat University, Science Faculty, Department of Mathematics, Elazi?, 23119, Türkiye;4. Federal University Dutse, Science Faculty, Department of Mathematics, Jigawa, 7156, Nigeria |
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| Abstract: | In this paper, the homotopy analysis method for solving the nonlinear modified Korteweg-de Vries equation is implemented with approximate initial conditions. We discuss the case when the problem has solitons or breathers. Some numerical examples are presented. |
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