Integrable hierarchy of higher nonlinear Schrödinger type equations

dc.contributor.author	Kundu, A.
dc.date.accessioned	2019-02-07T09:17:30Z
dc.date.available	2019-02-07T09:17:30Z
dc.date.issued	2006
dc.identifier.citation	Integrable hierarchy of higher nonlinear Schrödinger type equations / A. Kundu // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 25 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 35G20; 37C85; 35G25; 37E99
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146089
dc.description.abstract	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.	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	Integrable hierarchy of higher nonlinear Schrödinger type equations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA