Geodesic
On a~problem of reconstructing the bottom configuration of a~fluctuating ocean
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 2, pp. 99-110

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We formulated and investigate an inverse problem for nonstationary radiative transfer equation in application to the acoustic map making of the sea bottom with the use of side-scan sonars. In the single scattering approximation, we obtain a formula for determining the function that describes the small deviation of the surface from the bottom from a medium level.
Keywords: radiative transfer equation, inverse problems, bottom configuration, single-scattering approximation. 
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     author = {I. V. Prokhorov and A. A. Sushchenko and V. A. Kan},
     title = {On a~problem of reconstructing the bottom configuration of a~fluctuating ocean},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     publisher = {mathdoc},
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     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2015_18_2_a9/}
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I. V. Prokhorov; A. A. Sushchenko; V. A. Kan. On a~problem of reconstructing the bottom configuration of a~fluctuating ocean. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 2, pp. 99-110. http://geodesic.mathdoc.fr/item/SJIM_2015_18_2_a9/