On the Finite-gap Ansatz in the Continuum Limit of the Toda Lattice
نویسنده
چکیده
with b0 = bn = 0. The Toda lattice is an integrable system that is solved explicitly by the inverse spectral method (see [M]). Deift and McLaughlin [DM] studied the continuum limit of the Toda lattice. Here the size n tends to infinity, and we write ak(t;n) and bk(t;n) to indicate the dependence on n. For given continuous functions a0(y) and b0(y) > 0 for y ∈ (0,1), Deift and McLaughlin [DM] take initial values
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تاریخ انتشار 2000