| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8054354 | Applied Mathematics Letters | 2017 | 7 Pages |
Abstract
N-dimensional Bäcklund transformation (BT), Cole-Hopf transformation and Auto-Bäcklund transformation (Auto-BT) of n-dimensional Burgers system are derived by using simplified homogeneous balance (SHB). By the Auto-BT, another solution of the n-dimensional Burgers system can be obtained provided that a particular solution of the Burgers system is given. Since the particular solution of n-dimensional Burgers system can be given easily by the Cole-Hopf transformation, then using the Auto-BT repeatedly, more solutions of n-dimensional Burgers system can be obtained successively.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Mingliang Wang, Jinliang Zhang, Xiangzheng Li,