Exact solutions of the generalized Bretherton equation |
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| Authors: | Nikolai A Kudryashov Dmitry I SinelshchikovMaria V Demina |
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| Institution: | Department of Applied Mathematics, National Research Nuclear University, MEPHI, 31 Kashirskoe Shosse, 115409 Moscow, Russian Federation |
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| Abstract: | The generalized Bretherton equation is studied. The Bäcklund transformations between traveling wave solutions of the generalized Bretherton equation and solutions of polynomial ordinary differential equation are constructed. The classification problem for meromorphic solutions of the latter equation is discussed. Several new families of exact solutions for the generalized Brethenton equation are given. |
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| Keywords: | Bretherton equation Traveling wave solutions Exact solutions Meromorphic solutions |
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