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物理学报. 2004, 53(8): 2407-2412.
doi: 10.7498/aps.53.2407.
(2+1)维非线性Burgers方程变量分离解和新型孤波结构
- 收稿日期: 2003-09-25
- 修回日期: 2004-04-27
- 刊出日期: 2004-04-05
English Abstract
Variable separation solution and new soliton structures in the (2+1)-dimensional nonlinear Burgers equations
- Received Date:
25 September 2003
- Accepted Date:
27 April 2004
- Published Online:
05 April 2004
Abstract: A variable separation approach is applied to obtain the new exact explicit solution of (2+1)dimensional nonlinear Burgers equations. Using a B-cklund transformation and the variable separation technique, we find the variable separation solution of the (2+1)dimensional Burgers equations by the entrance of there arbitrary functions (one condition function) for the seed solution. Some special type of the kink soliton solution, periodic soliton solutions and lattice soliton solutions are discussed by selecting the arbitrary functions appropriately.
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