New Exact Solution to (3+1)-Dimensional Burgers Equation |
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| Authors: | SHEN Shou-Feng PAN Zu-Liang ZHANG Jun |
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| Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310027, China Department of Mathematics, Zhejiang University, Hangzhou 310027, China Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| Abstract: | 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. |
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| Keywords: | variable separation approach (3 1)-dimensional Burgers equation localized coherent structure |
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