‘Elastica’-like waves and particles: from Bernoulli, Euler, Laplace and Faraday to the eruption of the Universe

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dc.contributor.author Galiev, SU en
dc.contributor.author Galiyev, TS en
dc.date.accessioned 2017-02-09T01:29:48Z en
dc.date.issued 2017 en
dc.identifier.citation 50 pages. 2017 en
dc.identifier.uri http://hdl.handle.net/2292/31785 en
dc.description.abstract An information about ‘elastika’-forms is presented. These forms have been mathematically described by Euler in the middle of the 18th century. Some of these forms correspond to the strongly-nonlinear waves propagating in different media. Examples of wave equations describing elastica-like waves are presented. Special attention is given to the nonlinear Klein-Gordon equation. The exact and approximate solutions to this equation are constructed. These solutions describe some elastica-like travelling waves. They can also describe a formation of strongly-localized wave objects in some resonators. It is stressed that these objects (particles, bubbles) can occur during the origin of the Universe and affect its subsequent evolution. en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title ‘Elastica’-like waves and particles: from Bernoulli, Euler, Laplace and Faraday to the eruption of the Universe en
dc.type Other en
dc.rights.holder Copyright: The author en
dc.rights.accessrights http://purl.org/eprint/accessRights/OpenAccess en
pubs.subtype Other en
pubs.elements-id 612004 en
pubs.record-created-at-source-date 2017-02-09 en

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