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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper studies the behavior of solitons in the Korteweg-de Vries equationunder the influence of multiplicative noise. We introduce stochastic processesthat track the amplitude and position of solitons based on a rescaled frameformulation and stability properties of the soliton family. We furthermoreconstruct tractable approximations to the stochastic soliton amplitude andposition which reveal their leading-order drift. We find that the statisticalproperties predicted by our method agree well with numerical evidence.

Long-Timescale Soliton Dynamics in the Korteweg-de Vries Equation with Multiplicative Translation-Invariant Noise