Integrable hierarchy of higher nonlinear Schrödinger type equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Integrable hierarchy of higher nonlinear Schrödinger type equations
|
|
| Creator |
Kundu, A.
|
|
| 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.
|
|
| Date |
2019-02-07T09:17:30Z
2019-02-07T09:17:30Z 2006 |
|
| Type |
Article
|
|
| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/146089 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|