title: |
Discretization of Toroidal Soliton Equations |
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publication: |
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| volume-issue: | 10 - Supplement 2 | |
| pages: | 143 - 148 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2003.10.s2.13 (how to use a DOI) | |
author(s): |
Yasuhiro OHTA |
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publication date: |
December 2003 |
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abstract: |
We propose a way of discretization for the soliton equations associated with the
toroidal Lie algebra based on the direct method. By the discretization, the symetry of the system is modified so that the discrete time evolutions are no longer
compatible with the original continuous ones. The solutions of the discrete soliton
equations are explicitly given in terms of the Casorati determinants. |
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copyright: |
©
Atlantis Press. This is an open-access article distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |