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dc.contributor.authorKorenkov, Andrey N.-
dc.date.accessioned2019-05-24T09:32:36Z-
dc.date.available2019-05-24T09:32:36Z-
dc.date.issued2019-03-
dc.identifier.citationKorenkov A. N. Solitary waves on a cylinder shell with liquid. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 1, pp. 131– 143.en_GB
dc.identifier.otherhttps://doi.org/10.21638/11701/spbu01.2019.110-
dc.identifier.urihttp://hdl.handle.net/11701/15543-
dc.description.abstractTraditionally, non-linear wave propagation has been under consideration in classical hydro-dynamics, as well as in such areas of physics like optics and plasma theory. By contrast, we study the same problem within the framework of deformable solid body theory. Specifically, non-linear wave propagation is considered in a basic model of pipeline. We make use of classical non-linear thin elastic shell equilibrium equations along with Euler equations for a non-compressible non-viscous liquid. A soliton-type asymptotic solution is constructed. The existence of the single soliton on the “dry” shell is proved; while on the “filled up” shell there exist exactly two solitons. The behavior of these solutions was studied under the inter-connectedness factor, numerical results are provided. The results obtained may be put in practice, like construction engineering.en_GB
dc.language.isoruen_GB
dc.publisherSt Petersburg State Universityen_GB
dc.relation.ispartofseriesVestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 1-
dc.subjectnon-linear wave propagationen_GB
dc.subjectdispersionen_GB
dc.subjectsolitonen_GB
dc.subjectsolitary waveen_GB
dc.subjectthin shellen_GB
dc.subjectnonviscous liquiden_GB
dc.subjectasymptotic solutionen_GB
dc.titleSolitary waves on a cylinder shell with liquiden_GB
dc.typeArticleen_GB
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