Tootfinder

[2024-04-30 Tue (UTC), no new articles found for nlin.PS Pattern Formation and Solitons]

This https://arxiv.org/abs/2402.16809 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Interactions between fractional solitons in bimodal fiber cavities
We report results of systematic investigation of dynamics featured by moving two-dimensional (2D) solitons generated by the fractional nonlinear Schroedinger equation (FNLSE) with the cubic-quintic nonlinearity. The motion of solitons is a nontrivial problem, as the fractional diffraction breaks the Galilean invariance of the underlying equation. The addition of the defocusing quintic term to the focusing cubic one is necessary to stabilize the solitons against the collapse. The setting present…

LMAO My mom was (in)famous for yelling at people who stopped at Yield signs:
“It says “Yield” not “Surrender”!”
Embarrassed the hell out of us as kids. As an adult, I yell it just like she did! 🤣 https://mstdn.social/@nayele18maybe/112050269859280141

[2024-02-28 Wed (UTC), no new articles found for nlin.PS Pattern Formation and Solitons]

[2024-02-29 Thu (UTC), 2 new articles found for nlin.PS Pattern Formation and Solitons]

[2024-04-29 Mon (UTC), 1 new article found for nlin.PS Pattern Formation and Solitons]

[2024-02-01 Thu (UTC), no new articles found for nlin.PS Pattern Formation and Solitons]

This https://arxiv.org/abs/2401.08030 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Quantized plastic deformation
In engineering crystal plasticity inelastic mechanisms correspond to tensorial zero-energy valleys in the space of macroscopic strains. The flat nature of such valleys is in contradiction with the fact that plastic slips, mimicking lattice-invariant shears, are inherently discrete. A reconciliation has recently been achieved in the mesoscopic tensorial model (MTM) of crystal plasticity, which introduces periodically modulated energy valleys while also capturing in a geometrically exact way the …

Automating physical intuition in nonlinear fiber optics with unsupervised dominant balance search
Andrei V. Ermolaev, Christophe Finot, Goery Genty, John M. Dudley
https://arxiv.org/abs/2404.16916

Automating physical intuition in nonlinear fiber optics with unsupervised dominant balance search
Identifying the underlying processes that locally dominate physical interactions is the key to understanding nonlinear dynamics. Machine-learning techniques have recently been shown to be highly promising in automating the search for dominant physics, adding important insights that complement analytical methods and empirical intuition. Here we apply a fully unsupervised approach to the search for dominant balance during nonlinear and dispersive propagation in optical fiber, and show that we can…

Emergence of rogue-like waves in a reaction-diffusion system: Stochastic output from deterministic dynamics
Edgar Knobloch, Arik Yochelis
https://arxiv.org/abs/2402.18349

Emergence of rogue-like waves in a reaction-diffusion system: Stochastic output from deterministic dynamics
Rogue waves are an intriguing nonlinear phenomenon arising across different scales, ranging from ocean waves through optics to Bose-Einstein condensate. We describe the emergence of rogue wave-like dynamics in a reaction-diffusion system that arise as a result of a subcritical Turing instability. This state is present in the regime where all time-independent states are unstable, and consists of intermittent excitation of spatially localized spikes, followed by collapse to an unstable state and …