2003/04/30 by A. Yu. Orlov, Orlov, A. Yu.
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Polynomial and algebraic computation #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0305001
Latex, 24 pages, no figures
arxiv created 2003/12/01 · arxiv updated 2009/11/30
We consider KP tau function of hypergeometric type τ(\bf t,T,\bf t^*), where the set \bf t is the KP higher times and T,\bf t^* are sets of parameters. Fixing \bf t^*, we find that τ(\bf t,T,\bf t^*) is an infinite-soliton solution of different (dual) multi-component KP (and TL) hierarchy, where the roles of the variables \bf t and T are interchanged. When τ(\bf t,T,\bf t^*) is a polynomial in \bf t, we obtain a N-soliton solution of the dual hierarchy. Parameters of the solitons are related to the Frobenius coordinates of partitions in the Schur function development of τ(\bf t,T,\bf t^*).