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arXiv · 2403.19959

Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficients

Kolade Adjibi·Allan Martinez·Miguel Mascorro·Carlos Montes·Tamer Oraby·Rita Sandoval·Erwin Suazo
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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.

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Kolade Adjibi, Allan Martinez, Miguel Mascorro, Carlos Montes, Tamer Oraby, Rita Sandoval, Erwin Suazo. 2024-03-29. Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficients. https://arxiv.org/abs/2403.19959

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