dc.contributor.author |
Galiev, SU |
en |
dc.contributor.author |
Galiyev, TS |
en |
dc.date.accessioned |
2017-02-09T01:29:48Z |
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dc.date.issued |
2017 |
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dc.identifier.citation |
50 pages. 2017 |
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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. |
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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 |
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dc.type |
Other |
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dc.rights.holder |
Copyright: The author |
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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 |