Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
|
|
| Creator |
Yamane, H.
|
|
| 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.
|
|
| Date |
2019-02-12T18:09:40Z
2019-02-12T18:09:40Z 2015 |
|
| Type |
Article
|
|
| Identifier |
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 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|