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On polynomial symmetries of the sine-Gordon equation

Published online by Cambridge University Press:  24 October 2008

G. Z. Tu
G. Z. Tu
Affiliation:
Computing Centre of Chinese Academy of Sciences, Beijing, China
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Extract

The sine-Gordon (SG) equation uxt = sin u arises from many branches of physics, and now is one of the most important equations in soliton theory. There have been many works concerning its soliton solutions, Backhand transformations, symmetries and conservation laws and other properties. In this paper we prove that every polynomial symmetry of the SG equation is Hamiltonian, that is, takes the form of D-l δh/δu.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 3 , May 1982 , pp. 485 - 489
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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