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Perturbation Method and Optical Solitons

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Nonlinear Processes in Physics

Part of the book series: Springer Series in ((SSNONLINEAR))

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Abstract

We develop a perturbation method based on an infinite dimensional extension of the Lie transform of the vector fields, and discuss several applications to optical soliton problems. The applications include soliton propagation under rapidly oscillating perturbations 1), and higher order effects on multi-soliton interactions 2).

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References

  1. A. Haswgawa and Y. Kodama: Opt. Lett. 15(1990) 1443; Phys.Rev. Lett. 66 (1991) 161.

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  2. Y. Kodama and D. Muraki, “Dynamical Interaction of Optical Solitons” (in preparation).

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Additional references on this tipic

  1. Y. Kodama and A. Hasegawa, “Theoretical Foundation of Optical-Soliton Concept” appear in “Progress in Optics” ed. by E. Wolf ( Elsevier Science Publishers B.V. 1992 ) Chapter IX.

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  2. Y. Kodama and A. Hasegawa, “Generation of Asymptotically Stable Optical Solitons and Suppression of he Gordon-Haus Effect” to appear in Opt. Lett. (1992, Jan. 1 issue).

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  3. Y. Kodama and S. Wabnitz, Elect. Lett. 27 (1991) 1931.

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  4. Y. Kodama and A. Hasegawa, IEEE J.Q.E. QE-23 (1987) 510.

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  5. M. Nakazawa et.al, IEEE J.Q.E. QE-26 (1990) 2095.

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  6. L. F. Mollenauer et. al, J. Lightwave Tech. LT-9 (1991) 194.

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  7. L. F. Mollenauer et. al, Opt. Lett. 15 (1990) 1203.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ohio State University, Columbus, OH, 43210, USA

    Y. Kodama

Authors
  1. Y. Kodama
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Editor information

Editors and Affiliations

  1. Clarkson University, 13699-5815, Potsdam, NY, USA

    A. S. Fokas  & D. J. Kaup  & 

  2. University of Arizona, 85721, Tucson, AZ, USA

    A. C. Newell  & V. E. Zakharov  & 

  3. Landau Institute for Theoretical Physics, ul. Kosygina 2, 117334, Moscow, Russia

    V. E. Zakharov

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© 1993 Springer-Verlag Berlin Heidelberg

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Kodama, Y. (1993). Perturbation Method and Optical Solitons. In: Fokas, A.S., Kaup, D.J., Newell, A.C., Zakharov, V.E. (eds) Nonlinear Processes in Physics. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77769-1_43

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  • DOI: https://doi.org/10.1007/978-3-642-77769-1_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77771-4

  • Online ISBN: 978-3-642-77769-1

  • eBook Packages: Springer Book Archive

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