The discrete nonlinear Schrödinger equation with linear gain and nonlinear loss: the infinite lattice with nonzero boundary conditions and its finite-dimensional approximations

DOI10.1007/s00332-024-10050-6zbMATH Open1545.35177MaRDI QIDQ6588226

Kostas Vetas, Nikos I. Karachalios, Vassilis Koukouloyannis, Paris Kyriazopoulos, Georgios Fotopoulos

Publication date: 15 August 2024

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

modulation instabilitynonzero boundary conditionsAblowitz-Ladik latticedissipative discrete nonlinear Schrödinger systems

Mathematics Subject Classification ID

Attractors (35B41) Fixed-point theorems (47H10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05) Lattice dynamics; integrable lattice equations (37K60)

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