Lame equation and asymptotic higher-order periodic solutions to nonlinear evolution equations |
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| Authors: | Guan-Ting Liu |
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| Institution: | College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China |
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| Abstract: | Based on an auxiliary Lame equation and the perturbation method, a direct method is proposed to construct asymptotic higher-order periodic solutions to some nonlinear evolution equations. It is shown that some asymptotic higher-order periodic solutions to some nonlinear evolution equations in terms of Jacobi elliptic functions are explicitly obtained with the aid of symbolic computation. |
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| Keywords: | Lame equation Asymptotic higher-order periodic solution Perturbation method |
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