Non-Lie Symmetry Groups and New Exact Solutions to the (2 + 1)-Dimensional Broer-Kaup System

Bin Zheng, Xiqiang Liu

School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, China.
School of Mathematics Sciences, Liaocheng University, Liaocheng, China.

DOI: 10.4236/apm.2013.31020                

Abstract

For the (2 + 1)-dimensional Broer-Kaup system, we study the corresponding Lie symmetry groups, and obtain the symmetry group theorem and the Backlund transformation formula of solutions finding. At the same time, we find some new exact solutions of the (2 + 1)-dimensional Broer-Kaup system and extend the results in the papers [1-4].

Keywords

Broer-Kaup System; Lie Symmetry Group; Exact Solution; Backlund Transform

Conflicts of Interest

The authors declare no conflicts of interest.

References

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