An algorithm and its application for obtaining some kind of infinite-dimensional Hamiltonian canonical formulation
Ren Wen-Xiu(任文秀)a) b) and Alatancang(阿拉坦仓)a)†
a Department of Mathematics, Inner Mongolia University, Hohhot 010021, China; b Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
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.
Received: 09 May 2007
Revised: 19 July 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant
No~10562002) and the Natural Science Foundation of Nei Mongol, China
(Grant No~200508010103).
Cite this article:
Ren Wen-Xiu(任文秀) and Alatancang(阿拉坦仓) An algorithm and its application for obtaining some kind of infinite-dimensional Hamiltonian canonical formulation 2007 Chinese Physics 16 3154
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