Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficients
Mathematical Physics
2024-04-01 v1 math.MP
Abstract
We will present exact solutions for three variations of stochastic Korteweg de Vries-Burgers (KdV-Burgers) equation featuring variable coefficients. In each variant, white noise exhibits spatial uniformity, and the three categories include additive, multiplicative, and advection noise. Across all cases, the coefficients are time-dependent functions. Our discovery indicates that solving certain deterministic counterparts of KdV-Burgers equations and composing the solution with a solution of stochastic differential equations leads to the exact solution of the stochastic Korteweg de Vries-Burgers (KdV-Burgers) equations.
Keywords
Cite
@article{arxiv.2403.19959,
title = {Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficients},
author = {Kolade Adjibi and Allan Martinez and Miguel Mascorro and Carlos Montes and Tamer Oraby and Rita Sandoval and Erwin Suazo},
journal= {arXiv preprint arXiv:2403.19959},
year = {2024}
}