Nonlocalization of Nonlocal Symmetry and Symmetry Reductions of the Burgers Equation |
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| Authors: | JIN Yan JIA Man LOU Sen-Yue |
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| Affiliation: | 1. Ningbo Institute of Education, Ningbo 315010, China;2. Faculty of Science, Ningbo University, Ningbo 315211, China;3. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China |
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| Abstract: | 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. |
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| Keywords: | Burgers equation nonlocal symmetry interaction solutions |
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