Direct delay reductions of the Toda hierarchy

Nalini Joshi; Paul E. Spicer

doi:10.1143/jpsj.78.094006

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arXiv · 0906.2169

Direct delay reductions of the Toda hierarchy

Nalini Joshi·Paul E. Spicer

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Abstract

We apply the direct method of obtaining reductions to the Toda hierarchy of equations. The resulting equations form a hierarchy of ordinary differential difference equations, also known as delay-differential equations. Such a hierarchy appears to be the first of its kind in the literature. All possible reductions, under certain assumptions, are obtained. The Lax pair associated to this reduced hierarchy is obtained.

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Nalini Joshi, Paul E. Spicer. 2009-06-11. Direct delay reductions of the Toda hierarchy. https://doi.org/10.1143/jpsj.78.094006

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