New Exact Solutions to (2+1)-Dimensional Variable Coefficients Broer-Kaup Equations |
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| Authors: | ZHU Jia-Min MA Zheng-Yi |
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| Institution: | Department of Physics, Zhejiang Lishui University, Lishui 323000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China Department of Physics, Zhejiang Lishui University, Lishui 323000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China |
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| Abstract: | In this paper, using the variable coefficient generalized projected Ricatti equation expansion method, we present explicit solutions of the (2 1)-dimensional variable coefficients Broer-Kaup (VCBK) equations. These solutions include Weierstrass function solution, solitary wave solutions, soliton-like solutions and trigonometric function solutions.Among these solutions, some are found for the first time. Because of the three or four arbitrary functions, rich localized excitations can be found. |
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| Keywords: | variable coefficient generalized projected Ricatti equation method (2 1)-dimensional variable coefficients Broer-Kaup equations Weierstrass function solution solitary wave solution trigono metric function solution |
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