Work

White-Noise-Driven KdV-Type Boussinesq System

Year: 2025

Type: article

Abstract: The white-noise-driven KdV-type Boussinesq system is a class of stochastic partial differential equations (SPDEs) that describe nonlinear wave propagation under the influence of random noise—specifically white noise—and generalize features from both the Korteweg–de Vries (KdV) and Boussinesq equations. We consider a Cauchy problem for two stochastic systems based on the KdV-type Boussinesq equations. For these systems, we determine sufficient conditions to ensure that this problem is locally and globally well posed for initial data in Sobolev spaces by the linear and bilinear estimates and their modification together with the Banach fixed point.

Source: Mathematics

DOI: 10.3390/math13111758

Authors: Aissa Boukarou, Safa M. Mirgani, Khaled Zennir, Keltoum Bouhali, Sultan S. Alodhaibi

Institutions: University of Sciences and Technology Houari Boumediene, Imam Mohammad ibn Saud Islamic University, Qassim University

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Al-Imam Muhammad Ibn Saud Islamic University