New hierarchy of integrable system bi-Hamiltonian structure and constrained flows
type: Item
instance of: scholarly article
title: New hierarchy of integrable system bi-Hamiltonian structure and constrained flows
zbMATH Open document ID: 0960.37033
DOI: 10.1016/S0960-0779(99)00024-7
author: Mousumi Saha
author: A. Roy Chowdhury
published in: Chaos, Solitons and Fractals
publication date: 2000-09-14T00:00:00Z
review text: The paper deals with the hierarchy of integrable systems associated with the unstable nonlinear Schrödinger equation. To derive the bi-Hamiltonian structure of the system the authors use the spectral gradient approach and a trace identity. As a consequence they obtain a new Lax operator of the constrained flows which is the generalization of the classical \(r\)-matrix and one can adopt the separation of the variable method to solve them explicitly.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 1507116
zbMATH Keywords: integrable systems
zbMATH Keywords: bi-Hamiltonian systems
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Lax operator
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1507116