Geodesic
The configuration of the variable cross-section channel allowed reflectionless propagation of internal waves in the ocean
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 127-136

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Mathematical 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.
Mots-clés : varible-coefficient wave equation, Klein–Gordon equation
Keywords: travelling waves in heterogeneous media, stratified fluid. 
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     author = {A. V. Bagaev and E. N. Pelinovsky},
     title = {The configuration of the variable cross-section channel allowed reflectionless propagation of internal waves in the ocean},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {127--136},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2016},
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     url = {http://geodesic.mathdoc.fr/item/SVMO_2016_18_3_a12/}
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A. V. Bagaev; E. N. Pelinovsky. The configuration of the variable cross-section channel allowed reflectionless propagation of internal waves in the ocean. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 127-136. http://geodesic.mathdoc.fr/item/SVMO_2016_18_3_a12/