摘要
The nonlocal symmetries of the Burgers equation are explicitly given by the truncated Painlevé method.The auto-B?cklund transformation and group invariant solutions are obtained via the localization procedure for the nonlocal residual symmetries. Furthermore, the interaction solutions of the solition-Kummer waves and the solition-Airy waves are obtained.
The nonloeal symmetries of the Burgers equation are explicitly given by the truncated Painlevg method. The auto-Bgcklund transformation and group invariant solutions are obtained via the localization procedure for the nonlocal residual symmetries. FUrthermore, the interaction solutions of the solition-Kummer waves and the solition-Airy waves are obtained.
基金
Supported by the Global Change Research Program China under Grant No.2015CB953904
the National Natural Science Foundations of China under Grant Nos.11435005,11175092,and 11205092
Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No.ZF1213
K.C.Wong Magna Fund in Ningbo University
