Integrable hierarchy of higher nonlinear Schrödinger type equations
Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrable. We present a systematic method through a novel Eckhaus-Kundu hierarchy, which can generate higher nonlinearities in t...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146089 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Integrable hierarchy of higher nonlinear Schrödinger type equations / A. Kundu // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862590882098708480 |
|---|---|
| author | Kundu, A. |
| author_facet | Kundu, A. |
| citation_txt | Integrable hierarchy of higher nonlinear Schrödinger type equations / A. Kundu // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrable. We present a systematic method through a novel Eckhaus-Kundu hierarchy, which can generate higher nonlinearities in the NLS and derivative NLS equations preserving their integrability. Moreover, similar nonlinear integrable extensions can be made again in a hierarchical way for each of the equations in the known integrable NLS and derivative NLS hierarchies with higher order LD, without changing their LD.
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| first_indexed | 2025-11-27T05:50:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146089 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T05:50:39Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kundu, A. 2019-02-07T09:17:30Z 2019-02-07T09:17:30Z 2006 Integrable hierarchy of higher nonlinear Schrödinger type equations / A. Kundu // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 25 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35G20; 37C85; 35G25; 37E99 https://nasplib.isofts.kiev.ua/handle/123456789/146089 Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrable. We present a systematic method through a novel Eckhaus-Kundu hierarchy, which can generate higher nonlinearities in the NLS and derivative NLS equations preserving their integrability. Moreover, similar nonlinear integrable extensions can be made again in a hierarchical way for each of the equations in the known integrable NLS and derivative NLS hierarchies with higher order LD, without changing their LD. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Integrable hierarchy of higher nonlinear Schrödinger type equations Article published earlier |
| spellingShingle | Integrable hierarchy of higher nonlinear Schrödinger type equations Kundu, A. |
| title | Integrable hierarchy of higher nonlinear Schrödinger type equations |
| title_full | Integrable hierarchy of higher nonlinear Schrödinger type equations |
| title_fullStr | Integrable hierarchy of higher nonlinear Schrödinger type equations |
| title_full_unstemmed | Integrable hierarchy of higher nonlinear Schrödinger type equations |
| title_short | Integrable hierarchy of higher nonlinear Schrödinger type equations |
| title_sort | integrable hierarchy of higher nonlinear schrödinger type equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146089 |
| work_keys_str_mv | AT kundua integrablehierarchyofhighernonlinearschrodingertypeequations |