SYMMETRY ALGEBRA OF THE KAUP-KUPERSHMIDT EQUATION

HAN PING; LOU SEN-YUE

doi:10.7498/aps.43.1041

Abstract
Using the Miura and Cole-Hopf transformations, we prove that ten sets of time independent symmetries of the Kaup-Kupershmidt equation constitute a non-Abelian Lie algebra. Ten hierarchies of equations corresponding to these ten sets of symme-tries possess a common strong symmetry. The time independent symmetries of ten hierarchies of integrable models and the Lie algebras constituted by these symmetries are also given.
Authors and contacts
HAN PING²,

LOU SEN-YUE¹

(1)宁波师范学院物理系,中国科学院理论物理研究所,中国高等科学技术中心(世界实验室); (2)舟山师范专科学校物理系
References

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[14]	HAN PING, LOU SEN-YUE. NEW EXACT SOLUTIONS OF THE KAUP-KUPERSHMIDT EQUATION RELATED TO A NON-LOCAL SYMMETRY. Acta Physica Sinica, 1997, 46(7): 1249-1253. doi: 10.7498/aps.46.1249
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[16]	Yu Jun. . Acta Physica Sinica, 1995, 44(5): 673-677. doi: 10.7498/aps.44.673
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[18]	RUAN HANG-YU, LOU SEN-YUE. SYMMETRY REDUCTIONS OF WHITHAM-BROER-KAUP EQUATIONS IN SHALLOW WATER. Acta Physica Sinica, 1992, 41(8): 1213-1221. doi: 10.7498/aps.41.1213
[19]	WEI HUA. STRUCTURE CONSTANTS OF QUANTUM ALGEBRA AND YANG-BAXTER RELATION FOR THE Zn-SYMMETRIC STATISTICAL MODEL. Acta Physica Sinica, 1990, 39(9): 1357-1362. doi: 10.7498/aps.39.1357
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Vol. 43, Issue 7 - 1994-04-05

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