23 citations · 44 across the 4 of their papers we have counts for
4 papers · 1 filter
Exact States in Waveguides With Periodically Modulated Nonlinearity
E. Ding, H. N. Chan, K. W. Chow +2
We introduce a one-dimensional model based on the nonlinear Schrodinger/Gross-Pitaevskii equation where the local nonlinearity is subject to spatially periodic modulation in terms…
Rogue waves for a system of coupled derivative nonlinear Schrödinger equations
H. N. Chan, B. A. Malomed, K. W. Chow +1
Rogue waves (RWs) are unexpectedly strong excitations emerging from an otherwise tranquil background. The nonlinear Schrödinger equation (NLSE), a ubiquitous model with wide applic…
Pinned modes in two-dimensional lossy lattices with local gain and nonlinearity
Edwin Ding, A. Y. S. Tang, K. W. Chow +1
We introduce a system with one or two amplified nonlinear sites ("hot spots", HSs) embedded into a two-dimensional linear lossy lattice. The system describes an array of evanescent…
Symmetric and antisymmetric nonlinear modes supported by dual local gain in lossy lattices
K. W. Chow, Edwin Ding, Boris A. Malomed +1
We introduce a discrete lossy system, into which a double hot spot (HS) is inserted, i.e., two mutually symmetric sites carrying linear gain and cubic nonlinearity. The system can…