应用数学2025，Vol.38Issue(3)：787-795,9.
耦合非线性KdV方程及β效应和剪切流对Rossby波影响分析
Coupled Nonlinear KdV Equation and Analysis of the Effect of β Effect and Shear Flow on Rossby Waves
摘要
Abstract
A coupled nonlinear KdV equation model describing the evolution of Rossby waves in a two-layer fluid is derived using Gardner-Mörikawa(G-M)transformation and small parameter perturbation expansion method,the solitary wave solution of the coupled KdV equation is obtained using Jacobi elliptic function expansion method.Based on the coupled KdV equation and solitary wave solution,and using evolutionary graphical simulation,the influence of β effect and basic shear flow on Rossby waves evolution are analyzed,the physical factors of wave-wave interaction of Rossby waves in two-layer fluids are revealed.关键词
两层流体/Rossby波/耦合KdV方程/β效应/基本剪切流Key words
Two-layer fluid/Rossby waves/Coupling KdV equation/β effect/Basic shear flow分类
数理科学引用本文复制引用
陈利国,李琳琳,高菲菲..耦合非线性KdV方程及β效应和剪切流对Rossby波影响分析[J].应用数学,2025,38(3):787-795,9.基金项目
国家自然科学基金资助项目(72163022,12262025) （72163022,12262025）
内蒙古自然科学基金资助项目(2022LHMS01001) （2022LHMS01001）
内蒙古财经大学2024年度高质量科研成果培育基金项目(GZCG2425) （GZCG2425）
内蒙古自治区直属高校基本科研业务费项目(NCYWT25054) （NCYWT25054）
