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| New Exact Solution to （3＋1）-Dimensional Burgers Equation | |
| 引用本文： | SHENShou-Feng PANZu-Liang ZHANGJun. New Exact Solution to （3＋1）-Dimensional Burgers Equation[J]. 理论物理通讯, 2004, 42(1): 49-50 |
| 作者姓名： | SHENShou-Feng PANZu-Liang ZHANGJun |
| 作者单位： | [1]DepartmentofMathematics,ZhejiangUniversity,Hangzhou310027,China [2]InstituteofAppliedPhysicsandComputationalMathematics,Beijing100088,China |
| 摘 要： | In this Letter, using Ba^ecklund transformation and the new variable separation approach, we find a new general solution to the (3 1)-dimensional Burgers equation. The form of the universal formula obtained from many (2 1)-dimensional systems is extended. Abundant localized coherent structures can be found by seclecting corresponding functions appropriately. |
| 关 键 词： | 变量分离近似 三维伯格斯方程 局部相干结构 局部相干结构 |
| 收稿时间： | 2003-10-29 |
New Exact Solution to (3+1)-Dimensional BurgersEquation |
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| SHEN Shou-Feng,PAN Zu-Liang,ZHANG Jun. New Exact Solution to (3+1)-Dimensional BurgersEquation[J]. Communications in Theoretical Physics, 2004, 42(1): 49-50 | |
| Authors: | SHEN Shou-Feng PAN Zu-Liang ZHANG Jun |
| Affiliation: | 1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China;2. Institute of Applied Physics and Computational Mathematics,Beijing 100088, China |
| Abstract: | In this Letter, using Backlund transformation and the newvariable separation approach, we find a new general solution tothe (3+1)-dimensional Burgers equation. The form of the universalformula obtained from many (2+1)-dimensional systems is extended.Abundant localized coherent structures can be found byseclecting corresponding functions appropriately. |
| Keywords: | variable separation approach (3+1)-dimensional Burgers equation localized coherent structure |
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