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The configuration of the variable cross-section channel allowed reflectionless propagation of internal waves in the ocean

A. V. Bagaev1, E. N. Pelinovsky2

AnnotationMathematical problem discussed in the paper is about determination of configuration of variable-cross-section channels that allow so-called reflectionless propagation of internal waves in the ocean. The problem is reduced to searching for bounded solutions of ordinary second-order differential equation with two unknown functions. It is shown that such solutions exist, and they are obtained in explicit form.
Keywordsvarible-coefficient wave equation, Klein–Gordon equation, travelling waves in heterogeneous media, stratified fluid

1Associate professor of Applied Mathematics Department, Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod; a.v.bagaev@gmail.com

2Professor of Applied Mathematics Department, Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Professor of Information Systems Department, Nizhny Novgorod Branch of National Research University – Higher School of Economics, Nizhny Novgorod; pelinovsky@gmail.com

Citation: A. V. Bagaev, E. N. Pelinovsky, "[The configuration of the variable cross-section channel allowed reflectionless propagation of internal waves in the ocean]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:3 (2016) 127–136 (In Russian)