Year: 2025
Author: Yu Liu, Xingxing Liu, Min Li
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 383–398
Abstract
In this paper, we are committed to deriving shallow-water model equations from the governing equations in the two-dimensional incompressible fluid with the effects of weak Coriolis force and underlying shear flow. These approximate models are established by working within a weakly nonlinear regime, introducing suitable far-field or near-field variables, and truncating the asymptotic expansions of the unknowns to an appropriate order. The obtained models generalize the classical KdV and Boussinesq equations, as well as KdV and Boussinesq equations with the Coriolis or shear flow effects.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.383
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 383–398
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: KdV equation Boussinesq equation Coriolis effect shear flow.