Soliton interactions on a boussinesq type equation with a linear restoring force

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Abstract

We study the propagation and interaction of solitons modeled by the equation governing the flexural deformation of an elastic rod on elastic foundation (EREFE). The model equation is only of fourth order, but because of the presence of the linear restoring force, it exhibits some of the phenomenology of the 6GBE, especially when the nonmonotonic shapes are concerned. To do that, we apply the Christov spectral method in L 2(-∞,∞). Initially, we solve the problem in the moving frame and consider the obtained solutions as initial condition for the time dependant problem and study the propagation and interaction of solitons.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences - 3rd International Conference, AMiTaNS'11
Pages41-48
Number of pages8
Volume1404
DOIs
Publication statusPublished - 2011
Event3rd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'11 - Albena, Bulgaria
Duration: 20 Jun 201125 Jun 2011

Other

Other3rd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'11
CountryBulgaria
CityAlbena
Period20/06/1125/06/11

Keywords

  • Boussinesq
  • solitons
  • spectral method

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  • Cite this

    Christou, M. A. (2011). Soliton interactions on a boussinesq type equation with a linear restoring force. In Application of Mathematics in Technical and Natural Sciences - 3rd International Conference, AMiTaNS'11 (Vol. 1404, pp. 41-48) https://doi.org/10.1063/1.3659902