TY - JOUR
T1 - Comments on Some Algebraic Properties of the Gauge Equivalent Soliton Equations
AU - Li Yishen
JO - Journal of Partial Differential Equations
VL - 3
SP - 39
EP - 50
PY - 1989
DA - 1989/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5834.html
KW - 
AB -  In references to [1], [2], a theory is proposed for generating the constants of motion, the symmetries and their Lie algebra for some dynamical systems, where three parameters &#945, &#946 are introduced. In this paper, we have proved that if the soliton equations in dynamical systems are gauge equivalent, then the parameters &#945, &#946, h are invariant and the Lie algebra of the symmetries is isomophic under the transformation operator. At last some interesting examples are given.