This article is cited in 8 papers

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

P. Guha<sup>ab

a</sup> S. N. Bose National Centre for Basic Sciences, JD Block, Sector-3, Salt Lake, Calcutta - 700098, INDIA
^b Department of Mathematics, University of Colorado at Colorado Springs, Colorado Springs, CO 80933-7150. USA

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.

MSC: 37K10, 35Q58

Received: 21.09.2002

Language: English

DOI: 10.1070/RD2003v008n02ABEH000238

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