Direct delay reductions of the Toda hierarchy

Details Direct delay reductions of the Toda hierarchy Direct delay reductions of the Toda hierarchy

2009-06-11

arxiv.org/abs/0906.2169v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages

Scientific paper

10.1143/JPSJ.78.094006

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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