3 papers
nlin.PS2024
The Lugiato-Lefever equation driven by a double tightly focused pump
Mateus C. P. dos Santos, Shatrughna Kumar, Wesley B. Cardoso +1
We introduce a model of an optical cavity based on the one-dimensional Lugiato-Lefever (LL) equation, which includes the pump represented by a symmetric pair of tightly localized "…
physics.optics2024
Stable patterns in the Lugiato-Lefever equation with a confined vortex pump
Shatrughna Kumar, Wesley B. Cardoso, Boris A. Malomed
We introduce a model of a passive optical cavity based on a novel variety of the two-dimensional Lugiato-Lefever equation, with a localized pump carrying intrinsic vorticity S, and…
nlin.PS2023
A solvable model for symmetry-breaking phase transitions
Shatrughna Kumar, Pengfei Li, Liangwei Zeng +2
Analytically solvable models are benchmarks in studies of phase transitions and pattern-forming bifurcations. Such models are known for phase transitions of the second kind in unif…