English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A numerical exploration of a gain-loss nonlinear Schr\"odinger equation wascarried out utilizing over 180000 core hours to conduct more than 10000 uniquesimulations in an effort to characterize the model's six dimensional parameterspace. The study treated the problem in full generality, spanning a minimum ofeight orders of magnitude for each of three linear and nonlinear gain terms andfive orders of magnitude for higher order nonlinearities. The gain-lossnonlinear Schr\"odinger equation is of interest as a model for spin waveenvelopes in magnetic thin film active feedback rings and analogous drivendamped nonlinear physical systems. Bright soliton trains were spontaneouslydriven out of equilibrium and behaviors stable for tens of thousands of roundtrip times were numerically identified. Nine distinct complex dynamicalbehaviors with lifetimes on the order of ms were isolated as part of sixidentified solution classes. Numerically located dynamical behaviors include:(1) Low dimensional chaotic modulations of bright soliton trains; (2) spatiallysymmetric/asymmetric interactions of solitary wave peaks; (3) dynamical patternformation and recurrence; (4) steady state solutions and (5) intermittency.Simulations exhibiting chaotically modulating bright soliton trains were foundto qualitatively match previous experimental observations. Ten new dynamicalbehaviors, eight demonstrating long lifetimes, are predicted to be observablein future experiments.

Complex Solitary Wave Dynamics, Pattern Formation, and Chaos in the Gain-Loss Nonlinear Schr\"odinger Equation