Higher-order integrable models for oceanic internal wave-current
interactions
Higher-order integrable models for oceanic internal wave-current
interactions
In this paper we derive a higher-order KdV equation (HKdV) as a model to describe the unidirectional propagation of waves on an internal interface separating two fluid layers of varying densities. Our model incorporates underlying currents by permitting a sheared current in both fluid layers, and also accommodates the effect …