A Gardner evolution equation for topographic Rossby waves and its mechanical analysis

作者：

Highlights：

• New potential vorticity conservation equation is obtained from the approach of topographic Rossby waves.

• It is the first time that a Gardner model equation is derived to characterize the evolution of nonlinear Rossby solitary waves.

• The dynamics of Rossby solitary waves are disclosed by successfully using shooting method and Fourier spectral method.

摘要

•New potential vorticity conservation equation is obtained from the approach of topographic Rossby waves.•It is the first time that a Gardner model equation is derived to characterize the evolution of nonlinear Rossby solitary waves.•The dynamics of Rossby solitary waves are disclosed by successfully using shooting method and Fourier spectral method.

论文关键词：Shallow water models topography,Potential vorticity,Spectral method,Rossby solitary waves

论文评审过程：Received 12 November 2019, Revised 6 April 2020, Accepted 24 May 2020, Available online 25 June 2020, Version of Record 25 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125426