| Variable-Coefficient Hyperbola Function Method and Its Application to （2＋1）-Dimensional Variable-Coefficient Broer-Kaup System |
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| 作者姓名： | HUANGDing- Jiang ZHANGHong-Qing |
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| 作者单位： | DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian116024,China |
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| 摘 要： | Based on a new intermediate transformation, a variable-coeFficient hyperbola function method is proposed.Being concise and straightforward, it is applied to the (2 1)-dimensional variable-coeFficient Broer-Kaup system. As a result, several new families of exact soliton-like solutions are obtained, besides the travelling wave. When imposing some conditions on them, the new exact solitary wave solutions of the (2 1)-dimensional Broer Kaup system are given. The method can be applied to other variable-coeFficient nonlinear evolution equations in mathematical physics.
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| 关 键 词： | 变量系数 双曲线函数 非线性展开方程 类孤立子解 Broer-Kaup系统 数学物理方法 |
| 收稿时间： | 2004-01-18 |
Variable-Coefficient Hyperbola Function Method and Its Application to (2+1)-Dimensional Variable-Coefficient Broer-Kaup System |
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| HUANGDing-,Jiang ZHANGHong-Qing.Variable-Coefficient Hyperbola Function Method and Its Application to (2+1)-Dimensional Variable-Coefficient Broer-Kaup System[J].Communications in Theoretical Physics,2004,42(4):481-484. |
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| Authors: | HUANG Ding-Jiang and ZHANG Hong-Qing |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | Based on a new intermediate transformation, a variable-coefficient
hyperbola function method is proposed. Being concise and straightforward, it is
applied to the (2+1)-dimensional variable-coefficient Broer-Kaup system. As a
result, several new families of exact soliton-like solutions are
obtained, besides the travelling wave. When imposing some conditions
on them, the new exact solitary wave solutions of the
(2+1)-dimensional Broer-Kaup system are given. The method can be
applied to other variable-coefficient nonlinear evolution
equations in mathematical physics. |
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| Keywords: | variable coefficient nonlinear evolution equations hyperbola function method soliton-like solutions |
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