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Inverse Problem for the -Operator in the Lax Pair of the Boussinesq Equation on the Circle. / Badanin, A.; Korotyaev, E.

In: Functional Analysis and its Applications, Vol. 58, No. 3, 01.09.2024, p. 340-343.

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

Harvard

Badanin, A & Korotyaev, E 2024, 'Inverse Problem for the -Operator in the Lax Pair of the Boussinesq Equation on the Circle', Functional Analysis and its Applications, vol. 58, no. 3, pp. 340-343. https://doi.org/10.1134/S0016266324030092

APA

Badanin, A., & Korotyaev, E. (2024). Inverse Problem for the -Operator in the Lax Pair of the Boussinesq Equation on the Circle. Functional Analysis and its Applications, 58(3), 340-343. https://doi.org/10.1134/S0016266324030092

Vancouver

Badanin A, Korotyaev E. Inverse Problem for the -Operator in the Lax Pair of the Boussinesq Equation on the Circle. Functional Analysis and its Applications. 2024 Sep 1;58(3):340-343. https://doi.org/10.1134/S0016266324030092

Author

Badanin, A. ; Korotyaev, E. / Inverse Problem for the -Operator in the Lax Pair of the Boussinesq Equation on the Circle. In: Functional Analysis and its Applications. 2024 ; Vol. 58, No. 3. pp. 340-343.

BibTeX

@article{de26c51976ff4f48bf3e45a65f2de868,
title = "Inverse Problem for the -Operator in the Lax Pair of the Boussinesq Equation on the Circle",
abstract = "Abstract: We consider a third-order non-self-adjoint operator which is an -operator in the Lax pair for the Boussinesq equation on the circle. We construct a mapping from the set of operator coefficients to the set of spectral data, similar to the corresponding mapping for the Hill operator constructed by E. Korotyaev. We prove that, in a neighborhood of zero, our mapping is analytic and one-to-one. {\textcopyright} Pleiades Publishing, Ltd. 2024.",
keywords = "3-rd order operator, 34L20, 34L40, 47E05, Boussinesq equation, eigenvalues, inverse problem",
author = "A. Badanin and E. Korotyaev",
note = "Export Date: 19 October 2024 Адрес для корреспонденции: Badanin, A.; Saint Petersburg State UniversityRussian Federation; эл. почта: a.badanin@spbu.ru Адрес для корреспонденции: Korotyaev, E.; Saint Petersburg State UniversityRussian Federation; эл. почта: korotyaev@gmail.com",
year = "2024",
month = sep,
day = "1",
doi = "10.1134/S0016266324030092",
language = "Английский",
volume = "58",
pages = "340--343",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Inverse Problem for the -Operator in the Lax Pair of the Boussinesq Equation on the Circle

AU - Badanin, A.

AU - Korotyaev, E.

N1 - Export Date: 19 October 2024 Адрес для корреспонденции: Badanin, A.; Saint Petersburg State UniversityRussian Federation; эл. почта: a.badanin@spbu.ru Адрес для корреспонденции: Korotyaev, E.; Saint Petersburg State UniversityRussian Federation; эл. почта: korotyaev@gmail.com

PY - 2024/9/1

Y1 - 2024/9/1

N2 - Abstract: We consider a third-order non-self-adjoint operator which is an -operator in the Lax pair for the Boussinesq equation on the circle. We construct a mapping from the set of operator coefficients to the set of spectral data, similar to the corresponding mapping for the Hill operator constructed by E. Korotyaev. We prove that, in a neighborhood of zero, our mapping is analytic and one-to-one. © Pleiades Publishing, Ltd. 2024.

AB - Abstract: We consider a third-order non-self-adjoint operator which is an -operator in the Lax pair for the Boussinesq equation on the circle. We construct a mapping from the set of operator coefficients to the set of spectral data, similar to the corresponding mapping for the Hill operator constructed by E. Korotyaev. We prove that, in a neighborhood of zero, our mapping is analytic and one-to-one. © Pleiades Publishing, Ltd. 2024.

KW - 3-rd order operator

KW - 34L20

KW - 34L40

KW - 47E05

KW - Boussinesq equation

KW - eigenvalues

KW - inverse problem

UR - https://www.mendeley.com/catalogue/4f1c13c6-edbc-3cb1-baf7-226db9f62db8/

U2 - 10.1134/S0016266324030092

DO - 10.1134/S0016266324030092

M3 - статья

VL - 58

SP - 340

EP - 343

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 3

ER -

ID: 126387802