Variable separation approach for a differential-difference system: special Toda equation
- 28 January 2004
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 37 (6), 2401-2411
- https://doi.org/10.1088/0305-4470/37/6/029
Abstract
A multi-linear variable separation approach is developed to solve a differential-difference Toda equation. The semi-discrete form of the continuous universal formula is found for a suitable potential of the differential-difference Toda system. Abundant semi-discrete localized coherent structures of the potential can be found by appropriately selecting the arbitrary functions of the semi-discrete form of the universal formula.Keywords
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