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Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations |
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| Authors: | Pavel N Ryabov Dmitry I SinelshchikovMark B Kochanov |
| Institution: | Department of Applied Mathematics, National Research Nuclear University, MEPHI, 31 Kashirskoe Shosse, 115409 Moscow, Russian Federation |
| Abstract: | The application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is considered. Some classes of solitary wave solutions for the families of nonlinear evolution equations of fifth, sixth and seventh order are obtained. The efficiency of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is demonstrated. |
| Keywords: | Kudryashov method Nonlinear evolution equations Nonlinear differential equations Ordinary differential equations Exact solutions |
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