Searching for Infinitely Many Symmetries and Exact Solutions via Repeated Similarity Reductions

Chin. Phys. Lett.

2005, Vol. 22

Issue (1): 1-4 DOI:

Original Articles

Searching for Infinitely Many Symmetries and Exact Solutions via Repeated Similarity Reductions

LOU Sen-Yue^1,2;LAIN Zeng-Ju¹

¹Department of Physics, Ningbo University, Ningbo 315211 ²Department of Physics, Shanghai Jiao Tong University, Shanghai 200030

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LOU Sen-Yue, LAIN Zeng-Ju 2005 Chin. Phys. Lett. 22 1-4

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Abstract A simple symmetry reduction procedure is repeatedly used to obtain infinitely many symmetries and then the exact solutions of the Burgers equation. Some sets of exact solutions such as the rational solutions, rational-kink solutions and error function solutions are explicitly given. As a byproduct the recursion operators can be re-obtained at the same time.

Keywords: 02.30.Ik 02.20.Tw 02.30.Jr

Published: 01 January 2005

PACS:	02.30.Ik	(Integrable systems)
	02.20.Tw	(Infinite-dimensional Lie groups)
	02.30.Jr	(Partial differential equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I1/01

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