New Bäcklund transformations of the (2 + 1)-dimensional Burgers system related to residual symmetry
Institute of Nonlinear Science, Shaoxing University, 312000, Shaoxing, China
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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