An algorithm and its application for obtaining some kind of infinite-dimensional Hamiltonian canonical
formulation |
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Authors: | Ren Wen-Xiu and Alatancang |
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Institution: | Department of Mathematics, Inner Mongolia University, Hohhot 010021, China; Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China |
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Abstract: | 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
$`{\partial}/{\partial x}'$-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. |
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Keywords: | evolution equation infinite-dimensional Hamiltonian canonical system factorization of differential operator commutator |
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