Year: 2024
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Adjibi, Kolade, Martinez, Allan, Mascorro, Miguel, Montes, Carlos, Oraby, Tamer, Sandoval, Rita, Suazo, Erwin
Institution: The University of Texas Rio Grande Valley
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W4393399125