The Christov-Galerkin spectral method in complex arithmetics

M. A. Christou, N. C. Papanicolaou, C. Sophocleous, C. I. Christov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We apply the Christov-Galerkin spectral method for the numerical investigation of the interaction of solitons in the Cubic Nonlinear Schrödinger Equation. The issues of convergence are addressed and an algorithm is devised for the application of the method. Results are obtained for the interaction of solitons with different phase velocities and different carrier frequencies. The interactions are shown to be elastic, save for the phase shifts. The latter are extracted from the numerical solution and discussed.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences
Subtitle of host publication9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
PublisherAmerican Institute of Physics Inc.
Volume1895
ISBN (Electronic)9780735415799
DOIs
Publication statusPublished - 12 Oct 2017
Event9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 - Albena, Varna, Bulgaria
Duration: 21 Jun 201726 Jun 2017

Other

Other9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
CountryBulgaria
CityAlbena, Varna
Period21/06/1726/06/17

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  • Cite this

    Christou, M. A., Papanicolaou, N. C., Sophocleous, C., & Christov, C. I. (2017). The Christov-Galerkin spectral method in complex arithmetics. In Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 (Vol. 1895). [120003] American Institute of Physics Inc.. https://doi.org/10.1063/1.5007420