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摘要
Using factorization viewpoint of differential operator, this paper discusses how to transform a nonlinear evolution equation to infinite- dimensional Hamiltonian linear canonical formulation. It proves a sufficient condition of canonical factorization of operator, and provides a kind of mechanical algebraic method to achieve canonical 'partial derivative/partial derivative x'-type expression, correspondingly. Then three examples are given, which show the application of the obtained algorithm. Thus a novel idea for inverse problem can be derived feasibly.
