Third order operator for the good Boussinesq equation on the circle

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Выдержка

We consider a non-self-adjoint third order differential operator on R with real 1-periodic coefficients. The Lax equation for this operator is equivalent to the so-called good Boussinesq equation on the circle. The eigenvalues of the monodromy matrix constitute a 3-sheeted Riemann surface. Ramifications of this surface are invariant with respect to the Boussinesq flow. We determine high energy asymptotics of the ramifications.

Язык оригиналаанглийский
Название основной публикацииProceedings of the International Conference Days on Diffraction, DD 2018
РедакторыA.Ya. Kazakov, A.P. Kiselev, L.I. Goray, O.V. Motygin
ИздательInstitute of Electrical and Electronics Engineers Inc.
Страницы27-32
Число страниц6
ISBN (электронное издание)9781728103136
DOI
СостояниеОпубликовано - 29 ноя 2018
Событие2018 International Conference Days on Diffraction, DD 2018 - St. Petersburg, Российская Федерация
Продолжительность: 4 июн 20188 июн 2018

Серия публикаций

НазваниеProceedings of the International Conference Days on Diffraction, DD 2018

Конференция

Конференция2018 International Conference Days on Diffraction, DD 2018
СтранаРоссийская Федерация
ГородSt. Petersburg
Период4/06/188/06/18

Предметные области Scopus

  • Сопротивление материалов
  • Безопасность, риски, качество и надежность
  • Вычислительная математика
  • Астрономия и астрофизика
  • Радиация

Цитировать

Badanin, A. V., & Korotyaev, E. L. (2018). Third order operator for the good Boussinesq equation on the circle. В A. Y. Kazakov, A. P. Kiselev, L. I. Goray, & O. V. Motygin (Ред.), Proceedings of the International Conference Days on Diffraction, DD 2018 (стр. 27-32). [8552999] (Proceedings of the International Conference Days on Diffraction, DD 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2018.8552999
Badanin, Andrey V. ; Korotyaev, Evgeny L. / Third order operator for the good Boussinesq equation on the circle. Proceedings of the International Conference Days on Diffraction, DD 2018. редактор / A.Ya. Kazakov ; A.P. Kiselev ; L.I. Goray ; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. стр. 27-32 (Proceedings of the International Conference Days on Diffraction, DD 2018).
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title = "Third order operator for the good Boussinesq equation on the circle",
abstract = "We consider a non-self-adjoint third order differential operator on R with real 1-periodic coefficients. The Lax equation for this operator is equivalent to the so-called good Boussinesq equation on the circle. The eigenvalues of the monodromy matrix constitute a 3-sheeted Riemann surface. Ramifications of this surface are invariant with respect to the Boussinesq flow. We determine high energy asymptotics of the ramifications.",
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Badanin, AV & Korotyaev, EL 2018, Third order operator for the good Boussinesq equation on the circle. в AY Kazakov, AP Kiselev, LI Goray & OV Motygin (ред.), Proceedings of the International Conference Days on Diffraction, DD 2018., 8552999, Proceedings of the International Conference Days on Diffraction, DD 2018, Institute of Electrical and Electronics Engineers Inc., стр. 27-32, 2018 International Conference Days on Diffraction, DD 2018, St. Petersburg, Российская Федерация, 4/06/18. https://doi.org/10.1109/DD.2018.8552999

Third order operator for the good Boussinesq equation on the circle. / Badanin, Andrey V.; Korotyaev, Evgeny L.

Proceedings of the International Conference Days on Diffraction, DD 2018. ред. / A.Ya. Kazakov; A.P. Kiselev; L.I. Goray; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. стр. 27-32 8552999 (Proceedings of the International Conference Days on Diffraction, DD 2018).

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

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N2 - We consider a non-self-adjoint third order differential operator on R with real 1-periodic coefficients. The Lax equation for this operator is equivalent to the so-called good Boussinesq equation on the circle. The eigenvalues of the monodromy matrix constitute a 3-sheeted Riemann surface. Ramifications of this surface are invariant with respect to the Boussinesq flow. We determine high energy asymptotics of the ramifications.

AB - We consider a non-self-adjoint third order differential operator on R with real 1-periodic coefficients. The Lax equation for this operator is equivalent to the so-called good Boussinesq equation on the circle. The eigenvalues of the monodromy matrix constitute a 3-sheeted Riemann surface. Ramifications of this surface are invariant with respect to the Boussinesq flow. We determine high energy asymptotics of the ramifications.

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DO - 10.1109/DD.2018.8552999

M3 - Conference contribution

T3 - Proceedings of the International Conference Days on Diffraction, DD 2018

SP - 27

EP - 32

BT - Proceedings of the International Conference Days on Diffraction, DD 2018

A2 - Kazakov, A.Ya.

A2 - Kiselev, A.P.

A2 - Goray, L.I.

A2 - Motygin, O.V.

PB - Institute of Electrical and Electronics Engineers Inc.

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Badanin AV, Korotyaev EL. Third order operator for the good Boussinesq equation on the circle. В Kazakov AY, Kiselev AP, Goray LI, Motygin OV, редакторы, Proceedings of the International Conference Days on Diffraction, DD 2018. Institute of Electrical and Electronics Engineers Inc. 2018. стр. 27-32. 8552999. (Proceedings of the International Conference Days on Diffraction, DD 2018). https://doi.org/10.1109/DD.2018.8552999