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Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation

D. V. Zakharov
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Abstract

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 irrationalities.

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BibTeXRIS

D. V. Zakharov. 2007-01-18. Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation. https://doi.org/10.1007/s11232-007-0122-0

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