10 citations · 18 across the 3 of their papers we have counts for
9 papers
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…
Breathers and black rogue waves of coupled nonlinear Schrödinger equations with dispersion and nonlinearity of opposite signs
Jin Hua Li, Hiu Ning Chan, Kin Seng Chiang +1
Breathers and rogue waves of special coupled nonlinear Schrödinger systems (the Manakov equations) are studied analytically. These systems model the orthogonal polarization modes i…
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…
Pinned modes in lossy lattices with local gain and nonlinearity
Boris A. Malomed, Edwin Ding, K. W. Chow +1
We introduce a discrete linear lossy system with an embedded "hot spot" (HS), i.e., a site carrying linear gain and complex cubic nonlinearity. The system can be used to model an a…
Multi-stable dissipative structures pinned to dual hot spots
Cheng Hou Tsang, Boris A. Malomed, Kwok Wing Chow
We analyze the formation of one-dimensional localized patterns in a nonlinear dissipative medium including a set of two narrow "hot spots" (HSs), which carry the linear gain, local…