\(l^2\)-Sobolev space bijectivity of the scattering-inverse scattering transforms related to defocusing Ablowitz-Ladik systems
DOI10.1016/j.physd.2022.133565OpenAlexW4307392914WikidataQ121829695 ScholiaQ121829695MaRDI QIDQ2677796
Publication date: 6 January 2023
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.06897
inverse scattering transformRiemann-Hilbert problem\(l^2\)-Sobolev space bijectivitydefocusing Ablowitz-Ladik system
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)
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