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Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients

Kedziora, David; Ankiewicz, Adrian; Chowdury, Atiqur; Akhmediev, Nail

Description

We present an infinite nonlinear Schrödinger equation hierarchy of integrable equations, together with the recurrence relations defining it. To demonstrate integrability, we present the Lax pairs for the whole hierarchy, specify its Darboux transformations and provide several examples of solutions. These resulting wavefunctions are given in exact analytical form. We then show that the Lax pair and Darboux transformation formalisms still apply in this scheme when the coefficients in the...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
URI: http://hdl.handle.net/1885/102537
Source: Chaos An Interdisciplinary Journal of Nonlinear Science
DOI: 10.1063/1.4931710

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