A New Class of Separable Lagrangian Systems Generalizing Sawada–Kotera System.

Some characteristics of stationary flows of the Sawada–Kotera system lend themselves to generalization, producing a large class of separable Lagrangian systems with two degrees of freedom. All of these systems come in couples that have the same equations of motion, although they are not related by a gauge transform. Some nonpolynomial examples are provided. [ABSTRACT FROM AUTHOR]