Hamiltonian formalism for the nonlinear Schrödinger equation in physical space–time

DOI10.1063/1.532737zbMath0977.37037OpenAlexW1996597704MaRDI QIDQ4701898

Nian-Ning Huang, Zhide Chen, Xiang-Jun Chen

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532737

zbMATH Keywords

Hamiltonian formalismcontinuous spectrumnonlinear Schrödinger equation

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)

Related Items (2)

On the Poisson structure and action-angle variables for the Wadati-Konno-Ichikawa equation ⋮ On the Poisson structure and action-angle variables for the complex modified Korteweg-de Vries equation

Cites Work

• Quantum version of the method of inverse scattering problem
• Soliton phenomena in unstable media
• The theory and applications of the unstable nonlinear Schrödinger equation
• A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities

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