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This article is cited in 5 scientific papers (total in 5 papers)
Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation
D. V. Zakharov Columbia University
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.
Keywords:
isoperiodic deformation, periodic acoustic operator, finite-gap solution, integrable system.
Received: 27.12.2006
Citation:
D. V. Zakharov, “Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation”, TMF, 153:1 (2007), 46–57; Theoret. and Math. Phys., 153:1 (2007), 1388–1397
Linking options:
https://www.mathnet.ru/eng/tmf6120https://doi.org/10.4213/tmf6120 https://www.mathnet.ru/eng/tmf/v153/i1/p46
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Abstract page: | 494 | Full-text PDF : | 221 | References: | 51 | First page: | 3 |
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