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Similarity Reductions and Nonlocal Symmetry of the KdV Equation |
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| Authors: | Sen-Yue LOU Hang-Yu RUAN |
| Institution: | 1. Institute of Modern Physics, Ningbo Normal College, Ningbo 315211, China; 2. Fudan T. D. Lee Physics Laboratory, Department of Physics, Fudan University, Shanghai 200433, China; 3. Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China |
| Abstract: | Using some local and nonlocal symmetries of the KdV equation we get two types of nontrivial new similarity reductions. The first type of reduction equation can be solved by means of the Weierstrass elliptic function and the Riemann's zeta function while the solutions of the other type of reduction can be changed to the Painlevd Ⅱ equation. |
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