Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations

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dc.creatorKundu, Anjan
dc.date2005-12-08
dc.date2006-11-13
dc.date.accessioned2026-07-07T09:34:37Z
dc.date.available2026-07-07T09:34:37Z
dc.descriptionAddition 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.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0512016
dc.identifierhttp://arxiv.org/abs/nlin/0512016
dc.identifierSIGMA 2 (2006), 078, 12 pages
dc.identifierdoi:10.3842/SIGMA.2006.078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159559
dc.subjectExactly Solvable and Integrable Systems
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleIntegrable Hierarchy of Higher Nonlinear Schrödinger Type Equations
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