It is shown that there are no invariants of motion for the equation ∂Ω/∂t + J(ψ, Ω) + β∂ψ/∂x = 0 except those well-known (energy, enstrophy, meridional impulse component and "Casimirs"). The nonexistence of an additional conservation law entails the nontintegrability of this equation. © 1989.
Piterbarg, L. I., & Schulman, E. I. (1989). On the nonintegrability of the Hamiltonian system for Rossby waves and drift waves. Physics Letters A, 140(1–2), 29–32. https://doi.org/10.1016/0375-9601(89)90541-0