New Exact Solutions to (2+1)-Dimensional Variable Coefficients Broer-Kaup Equations
Zhu, Jia-Min, Ma -, Zhengyi
Abstract
Zhu, Jia-Min, Ma -, Zhengyi
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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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.
Key concepts: Variable coefficient, Variable (mathematics), Mathematics, Trigonometric functions, Mathematical analysis, Function (biology), Soliton, Riccati equation