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Hamiltonian structure for degenerate AKNS systems

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Publication:2785743
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DOI10.1063/1.531838zbMath0867.58027OpenAlexW1986510345MaRDI QIDQ2785743

Gulmaro Corona Corona

Publication date: 21 April 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531838


zbMATH Keywords

Hamiltonian structuredegenerate AKNS systems


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


Related Items (2)

Generalized Gel’fand–Levitan integral equation for two block Ablowitz–Kaup–Newell–Segur systems ⋮ Adjoint symmetry constraints of the vector KN equations and their integrable coupling system



Cites Work

  • On the complete integrability of completely integrable systems
  • Lie algebras and equations of Korteweg-de Vries type
  • Direct and inverse scattering transforms with arbitrary spectral singularities
  • Scattering and inverse scattering for first order systems
  • Inverse scattering and evolution equations
  • Hamiltonian Hierarchies on Semisimple Lie Algebras
  • New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation


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