Variable Separation Approach to Solve Nonlinear Systems

The variable separation approach method is very useful to solving (2+ 1 )-dimensional integrable systems. But the (1+1)-dimensional and (3+ 1 )-dimensional nonlinear systems are considered very little. In this letter, we extend this method to (1+1) dimensions by taking the Redekopp system as a simple example and (3+1)-dimensional Burgers system. The exact solutions are much general because they include some arbitrary functions and the form of the (3+ 1 )-dimensional universal formula obtained from many (2+ 1 )-dimensional systems is extended.

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(Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, 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(10)  分類號：   關鍵詞： variable separation approach   Redekopp system   Burgers system  

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