Conservation Laws and Symmetries of the Levi Equation

ZHANG Jian-Bing; JI Jie; CHEN Deng-Yuan

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Communications in Theoretical Physics ›› 2008, Vol. 50 ›› Issue (06) : 1261-1264.

Conservation Laws and Symmetries of the Levi Equation

ZHANG Jian-Bing,
JI Jie,
CHEN Deng-Yuan

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Abstract

The conservation laws of the Levi equation are presented. Two types of symmetry of the Levi equation hierarchy are deduced. Further it is proved that these symmetries construct an infinite-dimensional Lie algebra.

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Levi equation / Lax pair / conservation law / symmetry

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ZHANG Jian-Bing, JI Jie, CHEN Deng-Yuan. Conservation Laws and Symmetries of the Levi Equation[J]. Communications in Theoretical Physics, 2008, 50(06): 1261-1264