| Riccati方程与(2+1)维非线性物理模型的分离变量解 |
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| 引用本文： | 马正义. Riccati方程与(2+1)维非线性物理模型的分离变量解[J]. 数学的实践与认识, 2005, 35(12): 170-173 |
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| 作者姓名： | 马正义 |
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| 作者单位： | 浙江丽水学院数学系,浙江,丽水,323000;上海大学应用数学与力学研究所,上海,200072 |
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| 基金项目： | 浙江省“151人才工程”基金，浙江省自然科学基金(批准号:100039)资助的课题 |
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| 摘 要： | 对于(2+1)维非线性物理模型,欲获其解并非易事.本文试图在变量分离法中,通过设定的R iccati方程来得到方程的解.同时,以(2+1)维Bo iti-L eon-M anna-P em p inelli方程和Burgers方程为例来说明之.
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| 关 键 词： | 非线性物理模型 变量分离法 Riccati方程 |
| 修稿时间： | 2003-11-19 |
Riccati Equation and the Variable Separation Solution of (2+1)-Dimensional Nonlinear Physical Models |
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| MA Zheng-yi. Riccati Equation and the Variable Separation Solution of (2+1)-Dimensional Nonlinear Physical Models[J]. Mathematics in Practice and Theory, 2005, 35(12): 170-173 |
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| Authors: | MA Zheng-yi |
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| Abstract: | To the(2 1) dimensional nonlinear physical models,it is a difficult task for us to obtain their universal solutions.In the paper,we try to get some solutions through a given Riccati equation in the variable separation approach.At the same time,we take the(2 1) dimensional Boiti Leon Manna Pempinelli equation and Burgers equation as examples to illustrate the method. |
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| Keywords: | nonlinear physical model variable separation approach Riccati equation |
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