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

D. V. Zakharov

doi:10.1007/s11232-007-0122-0

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

D. V. Zakharov

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We consider the problem of describing the possible spectra of an acoustic operator with a periodic finite-gap density. On the moduli space of algebraic Riemann surfaces, we construct flows that preserve the periods of the corresponding operator. By a suitable extension of the phase space, these equations can be written with quadratic irrationalities.

Original language	English
Pages (from-to)	1388-1397
Number of pages	10
Journal	Theoretical and Mathematical Physics
Volume	153
Issue number	1
DOIs	https://doi.org/10.1007/s11232-007-0122-0
State	Published - Oct 2007

Keywords

Finite-gap solution
Integrable system
Isoperiodic deformation
Periodic acoustic operator

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10.1007/s11232-007-0122-0

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abstract = "We consider the problem of describing the possible spectra of an acoustic operator with a periodic finite-gap density. On the moduli space of algebraic Riemann surfaces, we construct flows 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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AB - We consider the problem of describing the possible spectra of an acoustic operator with a periodic finite-gap density. On the moduli space of algebraic Riemann surfaces, we construct flows that preserve the periods of the corresponding operator. By a suitable extension of the phase space, these equations can be written with quadratic irrationalities.

KW - Finite-gap solution

KW - Integrable system

KW - Isoperiodic deformation

KW - Periodic acoustic operator

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JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

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

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Keywords

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