https://doi.org/10.1140/epjp/i2018-11925-0
Regular Article
New Bäcklund transformations of the (2 + 1)-dimensional Burgers system related to residual symmetry
Institute of Nonlinear Science, Shaoxing University, 312000, Shaoxing, China
* e-mail: liuxizhong123@163.com
Received:
16
November
2017
Accepted:
9
February
2018
Published online:
5
March
2018
Through truncated Painlevé expansion of the (2 + 1)-dimensional Burgers system the residual symmetry is obtained and localized to a local one in an enlarged system by introducing new dependent variables. Using Lie’s first theorem, the Bäcklund transformation related to the localized residual symmetry is derived. Furthermore, the N-th-Bäcklund transformation of the (2 + 1)-dimensional Burgers system, which is expressed by determinants in a compact form, related to the symmetry of linear superposition of multiple residual symmetries is obtained through localization procedure.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
