Symmetries, conservation laws, and generalized travelling waves for a forced Ostrovsky equation

Ostrovsky’s equation with time- and space-dependent forcing is studied. This model for long waves in a rotating fluid non-constant depth (topography). A classification of Lie point symmetries low-order conservation laws presented. Generalized travelling wave solutions are obtained through symmetry reduction. These exhibit profile that stationary moving reference frame whose speed can be constant, accelerating, or decelerating.