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   作者單位： 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： 理論物理通訊(英文版)  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2004 42(7)  分類號：   關鍵詞： variable separation approach   (3+1)-dimensional Burgers equation   localized coherent structure  

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