The Ablowitz-Ladik system on a graph
DOI10.1088/1361-6544/ab36f2zbMath1427.37058arXiv1903.09040OpenAlexW2924972060MaRDI QIDQ5240863
Publication date: 29 October 2019
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09040
initial-boundary value probleminverse scattering methodAblowitz-Ladik systemunified transform method
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) Lattice dynamics; integrable lattice equations (37K60)
Cites Work
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- Threshold phenomena and existence results for NLS ground states on metric graphs
- Affine Toda field theories with defects
- Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs
- Constrained energy minimization and orbital stability for the NLS equation on a star graph
- The Degasperis-Procesi equation on the half-line
- Surface solitons in trilete lattices
- Variational properties and orbital stability of standing waves for NLS equation on a star graph
- The reduction problem and the inverse scattering method
- Initial-boundary value problems associated with the Ablowitz-Ladik system
- A multisymplectic approach to defects in integrable classical field theory
- Integrable nonlinear evolution equations on the half-line
- Quantum spins on star graphs and the Kondo model
- Boundary conditions for integrable chains
- New integrable boundary conditions for the Ablowitz-Ladik model: from Hamiltonian formalism to nonlinear mirror image method
- On the inverse scattering method for integrable PDEs on a star graph
- Integrable nonlinear evolution equations on a finite interval
- Soliton propagation on chains with simple nonlocal defects
- Initial-Boundary Value Problem for Integrable Nonlinear Evolution Equation with 3 × 3 Lax Pairs on the Interval
- Initial-Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half-Line
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- The unified transform method for the Sasa–Satsuma equation on the half-line
- The unified method: I. Nonlinearizable problems on the half-line
- Nonlinear Schrödinger equation on graphs: recent results and open problems
- FAST SOLITONS ON STAR GRAPHS
- The Ablowitz–Ladik system on a finite set of integers
- CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS
- The Ablowitz–Ladik system with linearizable boundary conditions
- A Unified Approach to Boundary Value Problems
- Initial-boundary-value problems for discrete evolution equations: discrete linear Schrödinger and integrable discrete nonlinear Schrödinger equations
- The Ablowitz-Ladik system on the natural numbers with certain linearizable boundary conditions
- Nonlinear differential−difference equations
- Nonlinear differential–difference equations and Fourier analysis
- Kirchhoff's rule for quantum wires
- A unified transform method for solving linear and certain nonlinear PDEs
- Integrable Nonlocal Nonlinear Equations
- Interplay between the Inverse Scattering Method and Fokas's Unified Transform with an Application
- The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs
- Aspects of sine-Gordon solitons, defects and gates
- Boundary value problems for integrable equations compatible with the symmetry algebra
- Finite genus solutions to the Ablowitz‐Ladik equations
- The nonlinear Schrödinger equation on the half-line
- Jump-defects in the nonlinear Schrödinger model and other non-relativistic field theories
- ON A SYSTEMATIC APPROACH TO DEFECTS IN CLASSICAL INTEGRABLE FIELD THEORIES
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