Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficients

Authors

Kolade Adjibi, The University of Texas Rio Grande Valley
Allan Martinez, The University of Texas Rio Grande Valley
Miguel Mascorro, The University of Texas Rio Grande Valley
Carlos Montes, The University of Texas Rio Grande Valley
Tamer Oraby, The University of Texas Rio Grande Valley
Rita Sandoval, The University of Texas Rio Grande Valley
Erwin Suazo, The University of Texas Rio Grande Valley

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).