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

2007/01/18 by D. V. Zakharov · 1 citation
Physics and Astronomy · Mathematics · #nlin.SI #math-ph #math.MP

paper · pdf · doi:10.1007/s11232-007-0122-0

15 pages

arxiv created 2007/01/18 · arxiv updated 2009/12/01

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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