2 papers
nlin.PS2024
Nonlinear lattices from the physics of ecosystems: The Lefever-Lejeune nonlinear lattice in
Nikos I. Karachalios, Antonis Krypotos, Paris Kyriazopoulos
We argue that the spatial discretization of the strongly nonlinear Lefever-Lejeune partial differential equation defines a nonlinear lattice that is physically relevant in the cont…
math-ph2024
The discrete nonlinear Schrödinger equation with linear gain and nonlinear loss: the infinite lattice with nonzero boundary conditions and its finite dimensional approximations
Georgios Fotopoulos, Nikos I. Karachalios, Vassilis Koukouloyannis +2
The study of nonlinear Schrödinger-type equations with nonzero boundary conditions define challenging problems both for the continuous (partial differential equation) or the discr…