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School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
2024
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.
Recommended Citation
Adjibi, Kolade, Allan Martinez, Miguel Mascorro, Carlos Montes, Tamer Oraby, Rita Sandoval, and Erwin Suazo. "Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficients." arXiv preprint arXiv:2403.19959 (2024).