Spectral Stability of Elliptic Solutions for the AB System

• Published in: Journal of nonlinear science Vol. 35; no. 5
• Main Authors: Cao, Li-Ming, Tian, Shou-Fu
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.10.2025; Springer Nature B.V
• Subjects: Analysis; Baroclinic flow; Baroclinic waves; Classical Mechanics; Economic Theory/Quantitative Economics/Mathematical Methods; Eigenvectors; Elliptic functions; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Stability; Theoretical; Spectral stability; Subharmonic perturbations; 37K45; Integrability; Elliptic function; 35Q53; 35Q51; AB system

We investigate in the present work the spectral stability of elliptic function solutions for the AB system, a completely integrable model for the description of baroclinic waves in geophysical flow. With the aid of the algebraic geometry method, we derive the elliptic solutions of the AB system and...