N-dimensional Auto-B\"acklund Transformation and Exact Solutions to n-dimensional Burgers System
Exactly Solvable and Integrable Systems
2016-07-26 v1 Pattern Formation and Solitons
Abstract
N-dimensional B\"acklund transformation (BT), Cole-Hopf transformation and Auto-B\"acklund 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
Cite
@article{arxiv.1607.07208,
title = {N-dimensional Auto-B\"acklund Transformation and Exact Solutions to n-dimensional Burgers System},
author = {Mingliang Wang and Jinliang Zhang and Xiangzheng Li},
journal= {arXiv preprint arXiv:1607.07208},
year = {2016}
}