摘要
Symmetry reduction method is one of the best ways to find exact solutions. In this paper, we study the possibility of symmetry reductions of the well known Burgers equation including the nonlocal symmetry. The related new group invariant solutions are obtained. Especially, the interactions among solitons, Airy waves, and Kummer waves are explicitly given.
Symmetry reduction method is one of the best ways to find exact solutions. In this paper, we study the possibility of symmetry reductions of the well known Burgers equation including the nonlocal symmetry. The related new group Jnvariant solutions are obtained. Especially, the interactions among solitons, Airy waves, and Kummer waves are explicitly given.
基金
Supported by the National Natural Science Foundations of China under Grant Nos. 11175092, 11275123, 11205092
Scientific Research Fund of Zhejiang Provincial Education Department under Grant No. Y201017148
K.C. Wong Magna Fund in Ningbo University
