Interaction of Three Waves for the Extension (2+1)-Dimensional Sine-Gordon Equation |
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Authors: | CHEN Wei CHEN Han-Lin DAI Zheng-De |
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Affiliation: | 1. School of Science, Southwest University of Science and Technology, Mianyang 621000, China;2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China |
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Abstract: | Exact solutions with three-wave form including three solitary wave, breather-type two-solitary wave, doubly breather-type of solitary wave, double-periodic kind of solitary wave are obtained using bilinear form and extended three-wave approach with the aid of Maple. It is important that completed elastic collision, non-completed elastic collision, and fusion of three waves are investigated, respectively. |
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Keywords: | extension (2+1)-dimensional Sine-Gordon equation three-wave solutions completed Elastic collision non-completed elastic collision fusion |
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