New Exact Solution to (3+1)-Dimensional Burgers Equation
In this Letter, using Backlund 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.
作 者： SHEN Shou-Feng PAN Zu-Liang ZHANG Jun 作者单位： SHEN Shou-Feng,PAN Zu-Liang(Department of Mathematics, Zhejiang University, Hangzhou 310027, China)ZHANG Jun(Institute of Applied Physics and Computational Mathematics, Beijing 100088, China)
刊 名： 理论物理通讯(英文版) ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2004 42(7) 分类号： 关键词： variable separation approach (3+1)-dimensional Burgers equation localized coherent structure