Gelfand hypergeometric functions on GM(2,N), for any partition of N, give explicit solution families of the 2-dimensional Toda-Hirota equation via Laplace sequences and Bäcklund transformations.
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Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II
Gelfand hypergeometric functions on GM(2,N), for any partition of N, give explicit solution families of the 2-dimensional Toda-Hirota equation via Laplace sequences and Bäcklund transformations.