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A New Multisoliton Solution to (2+1)-Dimensional KdV Equation |
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| Authors: | PENG Yan-Ze |
| Institution: | 1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China ;2. Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China |
| Abstract: | A new multisoliton solution to the (2+1)-dimensional KdV equation is obtained by means of the truncated Painleve expansion method and a direct ansatz technique. This new exact solution is periodic in the propagating direction x and exponentially decaying in y and thus it is called periodic solitons. A typical spatial structure of it is illustrated by the figures. |
| Keywords: | (2+1)-dimensional KdV equation periodic solitons truncated Painleve expansion method |
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