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Interaction of Three Waves for the Extension (2+1)-Dimensional Sine-Gordon Equation
Authors:CHEN Wei  CHEN Han-Lin  DAI Zheng-De
Institution:1. School of Science, Southwest University of Science and Technology, Mianyang 621000, China; 2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
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.
Keywords:extension (2+1)-dimensional Sine-Gordon equation  three-wave solutions  completed Elastic collision  non-completed elastic collision  fusion  
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