Geometry of Chen-Lee-Liu type derivative nonlinear Schrödinger flow

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Abstract

In this paper we derive the Lie algebraic formulation of the Chen-Lee-Liu (CLL) type generalization of derivative nonlinear Schrödinger equation. We also explore its Lie algebraic connection to another derivative nonlinear Schrödinger equation, the Kaup-Newell system. Finally it is shown that the CLL equation is related to the Dodd-Caudrey-Gibbon equation after averaging over the carrier oscillation.

Original languageBritish English
Pages (from-to)213-224
Number of pages12
JournalRegular and Chaotic Dynamics
Volume8
Issue number2
DOIs
StatePublished - 2003

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