Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation. If |n| < 2t, we have decaying oscillation of order O(t⁻¹/²) as was proved in our previous paper. Near |n|=2t, the behavior is decaying oscillation of order O(t⁻¹/³) and the coeffici...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2015 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2015
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146996 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II / H. Yamane // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862626713145442304 |
|---|---|
| author | Yamane, H. |
| author_facet | Yamane, H. |
| citation_txt | Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II / H. Yamane // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation. If |n| < 2t, we have decaying oscillation of order O(t⁻¹/²) as was proved in our previous paper. Near |n|=2t, the behavior is decaying oscillation of order O(t⁻¹/³) and the coefficient of the leading term is expressed by the Painlevé II function. In |n| > 2t, the solution decays more rapidly than any negative power of n.
|
| first_indexed | 2025-12-07T13:37:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146996 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:37:49Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Yamane, H. 2019-02-12T18:09:40Z 2019-02-12T18:09:40Z 2015 Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II / H. Yamane // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35Q55; 35Q15 DOI:10.3842/SIGMA.2015.020 https://nasplib.isofts.kiev.ua/handle/123456789/146996 We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation. If |n| < 2t, we have decaying oscillation of order O(t⁻¹/²) as was proved in our previous paper. Near |n|=2t, the behavior is decaying oscillation of order O(t⁻¹/³) and the coefficient of the leading term is expressed by the Painlevé II function. In |n| > 2t, the solution decays more rapidly than any negative power of n. This work was partially supported by JSPS KAKENHI Grant Number 26400127. Parts of this
 work were done during the author’s stay at Wuhan University. He wishes to thank Xiaofang
 Zhou for helpful comments and hospitality. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II Article published earlier |
| spellingShingle | Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II Yamane, H. |
| title | Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II |
| title_full | Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II |
| title_fullStr | Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II |
| title_full_unstemmed | Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II |
| title_short | Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II |
| title_sort | long-time asymptotics for the defocusing integrable discrete nonlinear schrödinger equation ii |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146996 |
| work_keys_str_mv | AT yamaneh longtimeasymptoticsforthedefocusingintegrablediscretenonlinearschrodingerequationii |