1 results for Unclassified, ???Elastica???-like waves and particles: from Bernoulli, Euler, Laplace and Faraday to the eruption of the Universe

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

    Galiyev, Shamil; Galiyev, TS (2017)

    Unclassified
    The University of Auckland Library

    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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