The Ablowitz–Ladik system with linearizable boundary conditions

DOI10.1088/1751-8113/48/37/375202zbMath1333.35246OpenAlexW2247516093MaRDI QIDQ3448425

Anh Tuan Bui, Gino Biondini

Publication date: 23 October 2015

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

Full work available at URL: https://doi.org/10.1088/1751-8113/48/37/375202

zbMATH Keywords

inverse scattering transformsolitonsBäcklund transformations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (9)

Linearizable boundary value problems for the nonlinear Schrödinger equation in laboratory coordinates ⋮ The Ablowitz–Ladik system on a finite set of integers ⋮ Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons ⋮ Initial-boundary value problems associated with the Ablowitz-Ladik system ⋮ Nonlocal reductions of the Ablowitz-Ladik equation ⋮ The Fokas method for integrable evolution equations on a time-dependent interval ⋮ New integrable boundary conditions for the Ablowitz-Ladik model: from Hamiltonian formalism to nonlinear mirror image method ⋮ The massive Thirring system in the quarter plane ⋮ The Ablowitz-Ladik system on a graph

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