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

2002/10/07 by Xian-min Qian, Qian, Xian-min, Sen-yue Lou +3
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0210011

12 pages, 6 figures

arxiv created 2002/10/07 · arxiv updated 2009/11/30

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.

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