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math.DS2024
On the solitary wave configurations of nonlinear Schrödinger equation under the effect of Lévy noise
Hina Zulfiqar, Shenglan Yuan, Muhammad Shoaib Saleem
This study aims to examine the effect of Lévy noise on the solutions of the nonlinear Schrödinger equation. An improved diversity of stochastic solutions is instinctively located d…
cond-mat.supr-con2024
Stochastic dynamics of the resistively shunted superconducting tunnel junction system under the impact of thermal fluctuations
Shenglan Yuan
In this work, a Josephson junction consisting of two superconducting layers sandwiching an insulating layer is explored, which is subject to the effects of thermal fluctuations. Th…
math.DS2024
Rare events in a stochastic vegetation-water dynamical system based on machine learning
Yang Li, Shenglan Yuan, Shengyuan Xu
Stochastic vegetation-water dynamical systems play a pivotal role in ecological stability, biodiversity, water resource management, and adaptation to climate change. This research…