Variable separation approach for a differential-difference system: special Toda equation

Details Variable separation approach for a differential-difference system: special Toda equation Variable separation approach for a differential-difference system: special Toda equation

2002-10-07

arxiv.org/abs/nlin/0210011v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, 6 figures

Scientific paper

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.

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