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

Xian-min Qian·Sen-yue Lou·Xing-biao Hu
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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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Xian-min Qian, Sen-yue Lou, Xing-biao Hu. 2002-10-07. Variable separation approach for a differential-difference system: special Toda equation. https://arxiv.org/abs/nlin/0210011

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