3 papers
nlin.PS2026
Towards the complete description of stationary states of a Bose-Einstein condensate in a one-dimensional quasiperiodic lattice: A coding approach
G. L. Alfimov, A. P. Fedotov, Ya. A. Murenkov +1
We consider stationary states of an effectively one-dimensional Bose-Einstein condensate in a quasiperiodic lattice. We formulate sufficient conditions for a one-to-one corresponde…
quant-ph2025
Stability of intrinsic localized modes on the lattice with competing power nonlinearities
Georgy L. Alfimov, Pavel A. Korchagin, Dmitry E. Pelinovsky
We study the discrete nonlinear Schrodinger equation with competing powers (p,q) satisfying 2 <= p < q. The physically relevant cases are given by (p,q) = (2,3), (p,q) = (3,4), and…
nlin.PS2025
Intrinsic localized modes for DNLS equation with competing nonlinearities: bifurcations
G. L. Alfimov, P. A. Korchagin, F. K. Abdullaev
We study nonlinear excitations described by DNLS-type equations with so-called competing nonlinearities. These are the nonlinearities that consist of two power terms with coefficie…