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Generalized Bargmann potentials
Authors:A. N. Leznov
Affiliation:(1) Institute for High Energy Physics, Protvino, P.O. 142284, Serpukhov, Moscow Reg., U.S.S.R.
Abstract:Conditions are found for the coefficient functions of a linear ordinary differential equation of the kth order psgr(k)+u1psgr(k-2)+...+uk-1psgr=gammakpsgr, when its solution has the following analytical dependence on the lambda parameter: psgr=exp(zPgri=1n(lambda+ai)(ajequivaj(Z)). The problem is closely related to the finding of n-soliton solutions of the simplest form for the periodic Toda system, corresponding to Anand Cnseries.
Keywords:
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