학술논문
Two-dimensional solitons in cubic-saturable media with $\Cal{PT}$-symmetric lattices.
Document Type
Journal
Author
Göksel, İzzet (TR-ISTNT) AMS Author Profile; Antar, Nalan (TR-ISTNT) AMS Author Profile; Bakırtaş, İlkay (TR-ISTNT) AMS Author Profile
Source
Subject
37 Dynamical systems and ergodic theory -- 37K Infinite-dimensional Hamiltonian systems
37K40Soliton theory, asymptotic behavior of solutions
37K40
Language
English
Abstract
Summary: ``In this paper, we discuss the existence of lattice solitons supported by cubic-saturable nonlinearity in the framework of nonlinear Schrödinger (NLS) equation with external potentials such as parity-time-symmetric lattices with and without defects by using the pseudo-spectral renormalization method. Linear and nonlinear stability properties of the lattice solitons centered on the maximum of the $\Cal{PT}$-symmetric potential are investigated in detail.''