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

P. Guha

doi:10.1070/RD2003v008n02ABEH000238

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

P. Guha

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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 language	British English
Pages (from-to)	213-224
Number of pages	12
Journal	Regular and Chaotic Dynamics
Volume	8
Issue number	2
DOIs	https://doi.org/10.1070/RD2003v008n02ABEH000238
State	Published - 2003

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10.1070/RD2003v008n02ABEH000238

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title = "Geometry of Chen-Lee-Liu type derivative nonlinear Schr{\"o}dinger flow",

abstract = "In this paper we derive the Lie algebraic formulation of the Chen-Lee-Liu (CLL) type generalization of derivative nonlinear Schr{\"o}dinger equation. We also explore its Lie algebraic connection to another derivative nonlinear Schr{\"o}dinger 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.",

author = "P. Guha",

year = "2003",

doi = "10.1070/RD2003v008n02ABEH000238",

language = "British English",

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journal = "Regular and Chaotic Dynamics",

issn = "1560-3547",

publisher = "Pleiades Publishing",

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T1 - Geometry of Chen-Lee-Liu type derivative nonlinear Schrödinger flow

AU - Guha, P.

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=55449117635&partnerID=8YFLogxK

U2 - 10.1070/RD2003v008n02ABEH000238

DO - 10.1070/RD2003v008n02ABEH000238

M3 - Article

AN - SCOPUS:55449117635

SN - 1560-3547

VL - 8

SP - 213

EP - 224

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 2

ER -

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

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