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Weierstrass Elliptic Function Solutions to Nonlinear Evolution Equations |
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| Authors: | YU Jian-Ping and SUN Yong-Li |
| Institution: | 1. School of Applied Science, University of Science and Technology Beijing, Beijing 100083, China ;2. Department of Mathematics and Computer Science, Beijing University of Chemical Technology, Beijing 100029, China ;3. Key Laboratory of Mathematics Mechanization, the Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | This paper is based on the relations between projection Riccati equations and Weierstrass elliptic equation, combined with the Groebner bases in the symbolic computation. Then the novel method for constructing the Weierstrass elliptic solutions to the nonlinear evolution equations is given by using the above relations. |
| Keywords: | nonlinear evolution equations Weierstrass elliptic function solutions Groebner bases |
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