Talipova T.G., Pelinovsky E.N., Kurkina O.E., Rouvinskaya E.A., Giniyatullin A.R., Naumov A.A.
A class of exact solutions for linear long internal waves in a two-layer flow with variable depth and crosssection is found. These solutions describe the so-called non-reflective propagation when the wave field can be represented as the sum of two independent waves with variable amplitude and phase that propagate in the opposite directions. The existence of such reflectionless waves is possible only under certain configurations of the water flow, which are found in this paper. Applications of reflectionless waves intended for the description of the internal waves’ transformation on real shelves in bays and inlets are discussed.