| New Multiple Soliton-like Solutions to （3＋1）-Dimensional Burgers Equation with Variable Coefficients |
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| 引用本文： | CHENHuai-Tang ZHANGHong-Qing. New Multiple Soliton-like Solutions to （3＋1）-Dimensional Burgers Equation with Variable Coefficients[J]. 理论物理通讯, 2004, 42(4): 497-500 |
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| 作者姓名： | CHENHuai-Tang ZHANGHong-Qing |
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| 作者单位： | [1]DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian116024,China [2]DepartmentofMathematics,LinyiTeachersUniversity,Linyi276005,China |
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| 摘 要： | A new generalized tanh function method is used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the Riccati equation, which has more new solutions. More new multiple soliton-like solutions are obtained for the (3 1)-dimensional Burgers equation with variable coefficients.
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| 关 键 词： | 行波解 类孤立子解 Riccati方程 非线性偏微分方程 变量系数 双曲正切函数 传输波解 |
| 收稿时间： | 2003-09-28 |
New Multiple Soliton-like Solutions to (3+1)-Dimensional Burgers Equation with Variable Coefficients |
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| CHEN Huai-Tang,ZHANG Hong-Qing. New Multiple Soliton-like Solutions to (3+1)-Dimensional Burgers Equation with Variable Coefficients[J]. Communications in Theoretical Physics, 2004, 42(4): 497-500 |
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| Authors: | CHEN Huai-Tang ZHANG Hong-Qing |
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| Affiliation: | 1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China ;2. Department of Mathematics, Linyi Teachers University, Linyi 276005, China |
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| Abstract: | A new generalized tanh function method is used forconstructing exact travelling wave solutions of nonlinear partialdifferential equations in a unified way. The main idea ofthis method is to take full advantage of the Riccati equation,which has more new solutions. More new multiple soliton-likesolutions are obtained for the (3+1)-dimensional Burgers equationwith variable coefficients. |
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| Keywords: | Riccati equation travelling wave solution soliton-like solution |
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