3 papers
math.NA2026
Wave Breaking and Structure-Preserving Fully Discrete Method for Stochastic Camassa--Holm Equation with Additive Noise
Liying Sun, Zizhao Sun, Liying Zhang
In this article, we investigate the stochastic Camassa--Holm equation driven by additive noise, which models nonlinear shallow-water waves under random external forcing. We establi…
math.NA2026
Strong error analysis of a temporal approximation for stochastic Korteweg-de Vries equation with small additive noise
Jianbo Cui, Raffaele D'Ambrosio, Stefano Di Giovacchino +1
We study strong temporal approximation of periodic stochastic Korteweg--de Vries equation driven by small additive \(Q\)-Wiener noise of amplitude \(\mathcal O(\varepsilon)\), \(0<…
math.NA2026
Novel physical property preserved methods for stochastic Schrödinger--KdV equation
Ziheng Chen, Jialin Hong, Liying Sun
In this work, we study the stochastic Schrödinger--KdV equation driven by additive noise from both analytical and numerical viewpoints. We first establish the evolution laws for th…