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

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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.
12 pages, 6 figures

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80331

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0210011
 http://arxiv.org/abs/nlin/0210011

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arXiv