Some Boussinesq equations with saturation

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Abstract

We investigate numerically some Boussinesq type equations with square or cubic and saturated nonlinearity. We examine the propagation, interaction and overtake interaction of soliton solutions. Moreover, we examine the effect of the saturation term on the solution and compare it with the classical case of the square or cubic nonlinearity without saturation. We calculate numerically the phase shift experienced by the solitons upon collision and conclude the impact of saturation.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences - Proceedings of the 2nd International Conference, AMiTaNS'10
Pages553-560
Number of pages8
Volume1301
DOIs
Publication statusPublished - 2010
Event2nd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'10 - Sozopol, Bulgaria
Duration: 21 Jun 201026 Jun 2010

Other

Other2nd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'10
Country/TerritoryBulgaria
CitySozopol
Period21/06/1026/06/10

Keywords

  • Boussinesq equations
  • Christov-spectral Method
  • saturation
  • solitons

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