Solution of three waves interaction type models with nontrivial asymptotic and boundary conditions

DOI10.1063/1.530925zbMath0843.35112OpenAlexW1982220832MaRDI QIDQ4873358

Christophe Claude

Publication date: 5 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.530925

zbMATH Keywords

Cauchy problemnonlinear Schrödinger equationinverse spectral transformnon-vanishing potentials at infinity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Spectral transform and solitons for the three-wave coupling model with nontrivial boundary conditions

Cites Work

• Solitons of the nonlinear Schrödinger equation generated by the continuum
• Evolution equations, singular dispersion relations, and moving eigenvalues
• Scattering and inverse scattering for first order systems
• Spectral transform for a two spatial dimension extension of the dispersive long wave equation
• Non-self-adjoint Zakharov–Shabat operator with a potential of the finite asymptotic values. I. Direct spectral and scattering problems
• Nonlinear resonant scattering and plasma instability: an integrable model
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation

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