Nonlinear systems related to an arbitrary space–time dependence of the spectral transform

DOI10.1063/1.530426zbMath0813.35114arXivsolv-int/9401004OpenAlexW1865702193MaRDI QIDQ4317963

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Publication date: 2 January 1995

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

Full work available at URL: https://arxiv.org/abs/solv-int/9401004

zbMATH Keywords

nonlinear Schrödinger equationnonlinear evolution equationsspectral transform

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (4)

Nonlinear discrete systems with nonanalytic dispersion relations ⋮ Perturbation theory for nearly integrable multicomponent nonlinear PDEs ⋮ Modified nonlinear Schrödinger equation: Spectral transform and N-soliton solution ⋮ Spectral transform and solitons for the three-wave coupling model with nontrivial boundary conditions

Cites Work

• Integration of the nonlinear Schrödinger equation with a self- consistent source
• Evolution equations, singular dispersion relations, and moving eigenvalues
• Integrable nonlinear evolutions in 2+1 dimensions with non-analytic dispersion relations
• Scattering and inverse scattering for first order systems
• Nonlinear resonant scattering and plasma instability: an integrable model
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Spectral transform and solitons for generalized coupled Bloch systems

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