The Transformation Operator I of Nonliear Evolution Equations

Citation:

Chen Dengyuan,Zeng Yunbo.The Transformation Operator I of Nonliear Evolution Equations[J].Chinese Annals of Mathematics B,1985,6(1):71~82
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Authors:

Chen Dengyuan; Zeng Yunbo
Abstract: In this paper, the equivalence of two classes of nonlinear evolution equations is proved by introducing the transformation operator S and its inverse operator S^-1. By the transformation operator S, some properties of one class of these equations, such as the infinite number of conserved quantities, Backlund transformations, etc, are deduced from the corresponding known properties of its equivalent class.

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