An Ablowitz-Ladik system with a discrete potential. I: Extended resolvent

DOI10.1007/BF02557339zbMath0960.37035arXivmath-ph/9901015MaRDI QIDQ1567843

A. K. Pogrebkov, M. C. Prati

Publication date: 17 May 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9901015

zbMATH Keywords

potentialsingularityspectral theoryAblowitz-Ladik system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Linear difference operators (47B39)

Cites Work

• Soliton-like behavior in automata
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• Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation
• On two integrable cellular automata
• Some new methods and results in the theory of \((2+1)\)-dimensional integrable equations
• On discrete soliton equations related to cellular automata
• Toda-type cellular automaton and its \(N\)-soliton solution
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• Nonlinear discrete systems with nonanalytic dispersion relations
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