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Non-Lie Symmetry Groups and New Exact Solutions to the (2 + 1)-Dimensional Broer-Kaup System
School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, China
School of Mathematics Sciences, Liaocheng University, Liaocheng, China
- 1 School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, China
- 2 School of Mathematics Sciences, Liaocheng University, Liaocheng, China
Advances in Pure Mathematics·Volume 03 (2013)·Pages 149–152·Published 11 January 2013·DOI10.4236/apm.2013.31020
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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].
KeywordsBroer-Kaup SystemLie Symmetry GroupExact SolutionBacklund Transform
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