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On the Hamiltonian formalism for the Davey-Stewartson system

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Publication:3974452
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DOI10.1088/0266-5611/7/3/010zbMath0737.35119OpenAlexW2025661000MaRDI QIDQ3974452

Javier Villarroel, Mark J. Ablowitz

Publication date: 25 June 1992

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/7/3/010


zbMATH Keywords

inverse scattering transformDavey-Stewartson equationsHamiltonian systemaction angle variablesDbar limit


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15)


Related Items

On the Integrability of the Poisson Driven Stochastic Nonlinear Schrödinger Equations ⋮ New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations ⋮ On the Poisson structure and action-angle variables for the complex modified Korteweg-de Vries equation ⋮ Basic functions associated with a two-dimensional Dirac system ⋮ Multidimensional localized solitons. ⋮ Considerations on conserved quantities and boundary conditions of the \(2 + 1\)-dimensional nonlinear Schrödinger equation




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