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物理学报. 2000, 49(9): 1657-1662.
doi: 10.7498/aps.49.1657.
利用Miura型不可逆变换得到高维可积模型
- 收稿日期: 2000-02-24
- 刊出日期: 2000-09-20
English Abstract
OBTAIN HIGH DIMENSIONAL INTEGRABLE MODELS BY MEANS OF MIURA TYPE NONINVERTIBLE T RANSFORMATION
- Received Date:
24 February 2000
- Published Online:
20 September 2000
Abstract: Searching for high dimensional integrable models (especially in 3+1 dimensions) is one of the most important problems in nonlinear physics.In this paper,we esta blish a method to find some high dimensional integrable models via some noninver tible deformation relations.A noninvertible deformation relation may not only tr ansform an integrable model to a nonintegrable model,but also deform a nonintegrable model to an integrable model.Concretely,starting from a noninver-tible Miur a type transformation relation and the linear wave equation,we obtain a nontrivi al high dimensional Painleve integrable model.
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