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періодичних видань НАН України
Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Yamane, H. | |
| dc.date.accessioned | 2019-02-12T18:09:40Z | |
| dc.date.available | 2019-02-12T18:09:40Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 35Q55; 35Q15 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.020 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146996 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
