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New hierarchy of integrable system bi-Hamiltonian structure and constrained flows

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Publication:1579829
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DOI10.1016/S0960-0779(99)00024-7zbMath0960.37033MaRDI QIDQ1579829

A. Roy Chowdhury, Mousumi Saha

Publication date: 14 September 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)


zbMATH Keywords

integrable systemsSchrödinger equationLax operatorbi-Hamiltonian systems


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)




Cites Work

  • What is a classical r-matrix?
  • Soliton phenomena in unstable media
  • New constraint on the KP equation and a coupled Burgers system
  • Dynamical \(r\)-matrices for the constrained Harry-Dym flows
  • Classical Liouville completely integrable systems associated with the solutions of Boussinesq–Burgers’ hierarchy
  • On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems
  • A simple model of the integrable Hamiltonian equation
  • Restricted flows of the Ablowitz-Ladik hierarchy and their continuous limits
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