Discretization of Toroidal Soliton Equations

DOI

10.2991/jnmp.2003.10.s2.13How to use a DOI?

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.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Yasuhiro Ohta
PY  - 2003
DA  - 2003/12/01
TI  - Discretization of Toroidal Soliton Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 143
EP  - 148
VL  - 10
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s2.13
DO  - 10.2991/jnmp.2003.10.s2.13
ID  - Ohta2003
ER  -