Initial Value Problems for Integrable Systems on a Semi-Strip
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Initial Value Problems for Integrable Systems on a Semi-Strip
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| Creator |
Sakhnovich, A.L.
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| Description |
Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail. First, the case of rectangular matrix solutions of the defocusing nonlinear Schrödinger equation with quasi-analytic boundary conditions is dealt with. (The result is new even for a scalar nonlinear Schrödinger equation.) Next, a special case of the nonlinear optics (N-wave) equation is considered.
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| Date |
2019-02-14T18:19:38Z
2019-02-14T18:19:38Z 2016 |
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| Type |
Article
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| Identifier |
Initial Value Problems for Integrable Systems on a Semi-Strip / A.L. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 60 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35Q55; 35Q60; 34B20; 35A02 DOI:10.3842/SIGMA.2016.001 http://dspace.nbuv.gov.ua/handle/123456789/147424 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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