One-dimensional weakly nonlinear model equations for Rossby waves

Abstract

In this study we explore several possibilities for modelling weakly nonlinear Rossby waves in fluid of constant depth, which propagate predominantly in one direction. The model equations obtained include the BBM equation, as well as the integrable KdV and Degasperis-Procesi equations.

15 pages

References in corpus (5)

• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Inverse Scattering Transform for the Camassa-Holm equation
• Long-Time Asymptotics for the Camassa-Holm Equation
• Water Waves and Integrability
• The Zakharov-Kuznetsov Equation as a Two-Dimensional Model for Nonlinear Rossby Waves

Cited by in corpus (3)

• Dressing Method for the Degasperis-Procesi Equation
• Higher-order integrable models for oceanic internal wave-current interactions
• Solitary Wave Solution of Flat Surface Internal Geophysical Waves with Vorticity