Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation
نویسنده
چکیده
We consider the problem of describing the possible spectra of an acoustic operator with a periodic finite-gap density. We construct flows on the moduli space of algebraic Riemann surfaces that preserve the periods of the corresponding operator. By a suitable extension of the phase space, these equations can be written with quadratic irrational-ities.
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