Integrable systems whose spectral curve is the graph of a function
نویسنده
چکیده
For some integrable systems, such as the open Toda molecule, the spectral curve of the Lax representation becomes the graph C = {(λ, z) | z = A(λ)} of a function A(λ). Those integrable systems provide an interesting “toy model” of separation of variables. Examples of this type of integrable systems are presented along with generalizations for which A(λ) lives on a cylinder, a torus or a Riemann surface of higher genus. Mathematics Subject Classification (1991): 14H70, 37J35, 58F07, 70H06 nlin.SI/0211021
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