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Average Vector Field Splitting Method for Nonlinear Schrödinger Equation

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Chaos and Complex Systems

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Abstract

The energy preserving average vector field integrator is applied to one and two dimensional Schrödinger equations with symmetric split-step method. The numerical results confirm the long-term preservation of the Hamiltonians, which is essential in simulating periodic waves.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, Kültür University, 34156, Istanbul, Turkey

    Canan Akkoyunlu

  2. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, 06800, Ankara, Turkey

    Bülent Karasözen

Authors
  1. Canan Akkoyunlu
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  2. Bülent Karasözen
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Corresponding author

Correspondence to Canan Akkoyunlu .

Editor information

Editors and Affiliations

  1. Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Stavros G. Stavrinides

  2. Institute for Mathematical Research, Serdang, Malaysia

    Santo Banerjee

  3. Department of Mathematics - Computer, Istanbul Kultur Unviversity, Istanbul, Turkey

    Suleyman Hikmet Caglar

  4. Department of Physics, Istanbul Kultur University, Istanbul, Turkey

    Mehmet Ozer

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© 2013 Springer-Verlag Berlin Heidelberg

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Akkoyunlu, C., Karasözen, B. (2013). Average Vector Field Splitting Method for Nonlinear Schrödinger Equation. In: Stavrinides, S., Banerjee, S., Caglar, S., Ozer, M. (eds) Chaos and Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33914-1_32

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  • DOI: https://doi.org/10.1007/978-3-642-33914-1_32

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33913-4

  • Online ISBN: 978-3-642-33914-1

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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