Reconnections and interactions of filamentary coherent structures play a fundamental role in
the dynamics of fluids, redistributing energy and helicity among the length scales and …

A particular attention is paid to investigate the Kraenkel-Manna-Merle (KMM) system, which
can describe the nonlinear short-wave propagation in saturated ferromagnetic materials with …

Insight into vortex reconnections in superfluids is presented, making use of analytical results
and numerical simulations of the Gross-Pitaevskii model. Universal aspects of the …

We present an accurate and robust numerical method to track quantised vortex lines in a
superfluid described by the Gross–Pitaevskii equation. By utilising the pseudo-vorticity field …

Reconnections of coherent filamentary structures play a key role in the dynamics of fluids,
redistributing energy and helicity among the length scales, triggering dissipative effects, and …

While in classical turbulence helicity depletes nonlinearity and can alter the evolution of
turbulent flows, in quantum turbulence its role is not fully understood. We present numerical …

Topological properties of physical systems play a crucial role in our understanding of nature,
yet their experimental determination remains elusive. We show that the mean helicity, a …

In the present work, we explore the existence, stability, and dynamics of single-and multiple-
vortex-ring states that can arise in Bose-Einstein condensates. Earlier works have illustrated …

We performed numerical simulations of decaying quantum turbulence by using a
generalized Gross-Pitaevskii equation that includes a beyond mean field correction and a …

In this note we provide an analytical proof of the zero helicity condition for systems governed
by the Gross–Pitaevskii equation (GPE). The proof is based on the hydrodynamic …