@Article{JPDE-2-39, author = {Li Yishen}, title = {Comments on Some Algebraic Properties of the Gauge Equivalent Soliton Equations}, journal = {Journal of Partial Differential Equations}, year = {1989}, volume = {2}, number = {3}, pages = {39--50}, abstract = { 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 α, β are introduced. In this paper, we have proved that if the soliton equations in dynamical systems are gauge equivalent, then the parameters α, β, h are invariant and the Lie algebra of the symmetries is isomophic under the transformation operator. At last some interesting examples are given.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5834.html} }