The stability of a hydrodynamic bravais lattice

MMP Couchman, DJ Evans, JWM Bush - Symmetry, 2022 - mdpi.com
We present the results of a theoretical investigation of the stability and collective vibrations of
a two-dimensional hydrodynamic lattice comprised of millimetric droplets bouncing on the …

The invariant measure of a walking droplet in hydrodynamic pilot–wave theory

HD Nguyen, AU Oza - Nonlinearity, 2024 - iopscience.iop.org
We study the long time statistics of a walker in a hydrodynamic pilot-wave system, which is a
stochastic Langevin dynamics with an external potential and memory kernel. While prior …

Analytical solution for ginzburg–landau equation in discrete solitons laser arrays lattices via non-perturbation methods

M Rani, V Singh, R Goyal - Photonic Network Communications, 2023 - Springer
Abstract The Ginzburg–Landau equation (GLE) plays an important role in discrete solitons
laser array lattices. In this manuscript, the analytical solution for GLE which is a discrete …

Statistical self-organization of an assembly of interacting walking drops in a confining potential

A Hélias, M Labousse - The European Physical Journal E, 2023 - Springer
A drop bouncing on a vertically vibrated surface may self-propel forward by standing waves
and travels along a fluid interface. This system called walking drop forms a non-quantum …