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Standing Waves in Systems of Perturbed Sine-Gordon Equations

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Advanced Computing in Industrial Mathematics

Part of the book series: Studies in Computational Intelligence ((SCI,volume 681))

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Abstract

Systems of 2D perturbed Sine-Gordon equations are solved numerically by a leapfrog difference scheme. OpenMP parallel programm is realized and tested on the computational cluster of IICT-BAS. As a result a clear three-dimensional standing wave pattern is seen for certain parameters. This result agrees with previous studies of other authors. The observed numerical solutions well explain the experiments on powerful THz radiations from mesas of BSCCO crystals.

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References

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Acknowledgements

This work is supported by the National Science Fund of Bulgaria under Grant DFNI-I02/8 and by the National Science Fund of BMSE under grant I02/9/2014.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, St. Kliment Ohridski University of Sofia, 5 James Bourchier Blvd, 1164, Sofia, Bulgaria

    Radoslava Hristova & Ivan Hristov

Authors
  1. Radoslava Hristova
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  2. Ivan Hristov
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Corresponding author

Correspondence to Ivan Hristov .

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Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir Georgiev

  2. Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Sofia, Bulgaria

    Michail Todorov

  3. Institute of Information and Communication Technologies, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Georgiev

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Hristova, R., Hristov, I. (2017). Standing Waves in Systems of Perturbed Sine-Gordon Equations. In: Georgiev, K., Todorov, M., Georgiev, I. (eds) Advanced Computing in Industrial Mathematics. Studies in Computational Intelligence, vol 681. Springer, Cham. https://doi.org/10.1007/978-3-319-49544-6_5

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  • DOI: https://doi.org/10.1007/978-3-319-49544-6_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49543-9

  • Online ISBN: 978-3-319-49544-6

  • eBook Packages: EngineeringEngineering (R0)

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