Kang-Zuo Liang

Nonlinear evolution of Rossby solitary waves under time-dependent shear: A variable-coefficient Gardner model solved by physics-informed neural networks

Constant-coefficient models inadequately capture how time-dependent shear flows alter the propagation of Rossby solitary waves, and traditional numerical methods face inherent difficulties with such variable-coefficient systems. We derive a variable-coefficient Gardner equation from quasi-geostrophic dynamics and solve...