Inverse scattering transform for the nonlinear Schrödinger system on a zigzag-runged ladder lattice

DOI10.1063/1.3481565zbMath1314.81088OpenAlexW1997193799MaRDI QIDQ5253987

Oleksiy O. Vakhnenko

Publication date: 5 June 2015

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

Full work available at URL: https://doi.org/10.1063/1.3481565

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Dispersion theory, dispersion relations arising in quantum theory (81U30) Lattice dynamics; integrable lattice equations (37K60) Traveling wave solutions (35C07) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (11)

Asymmetric canonicalization of the integrable nonlinear Schrödinger system on a triangular-lattice ribbon ⋮ Integrable nonlinear Schrödinger system on a lattice with three structural elements in the unit cell ⋮ A hierarchy of integrable differential-difference equations and Darboux transformation ⋮ Prototype and reduced nonlinear integrable lattice systems with the modulated pulson behavior ⋮ Six-component semi-discrete integrable nonlinear Schrödinger system ⋮ Semidiscrete Integrable Nonlinear Systems Generated by the New Fourth-Order Spectral Operator: Local Conservation Laws ⋮ Semidiscrete Integrable Nonlinear Systems Generated by the New Fourth Order Spectral Operator: Systems of Obverse Type ⋮ Four-Wave Semidiscrete Nonlinear Integrable System with 𝒫𝒯-Symmetry ⋮ Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling ⋮ Symmetry-broken canonizations of the semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site coupling ⋮ Nonlinear integrable model of Frenkel-like excitations on a ribbon of triangular lattice

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