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 coefficient...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2015 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146996 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146996 |
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dspace |
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irk-123456789-1469962019-02-13T01:24:05Z Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II Yamane, H. 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. 2015 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146996 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Yamane, H. |
| spellingShingle |
Yamane, H. Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Yamane, H. |
| author_sort |
Yamane, H. |
| title |
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_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_sort |
long-time asymptotics for the defocusing integrable discrete nonlinear schrödinger equation ii |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146996 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT yamaneh longtimeasymptoticsforthedefocusingintegrablediscretenonlinearschrodingerequationii |
| first_indexed |
2023-05-20T17:26:16Z |
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2023-05-20T17:26:16Z |
| _version_ |
1796153292529598464 |