Skip to main content

Second-Order Perturbations for Solitons

  • Conference paper
Nonlinearity with Disorder

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 67))

  • 90 Accesses

Abstract

A singular perturbation theory for nonlinear Schrödinger solitons is extended into second order. There are certain subtle points which occur in second-order, and these are detailed and described.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D.J. Kaup, Institute of Nonlinear Studies preprint #154, (to appear in Phy. Rev A).

    Google Scholar 

  2. D.J. Kaup, SIAM J. Appl. Math. 31, 121–133 (1976).

    MATH  Google Scholar 

  3. J.P. Keener and D.W. McLaughlin, Phys. Rev. A 16, 777 (1977).

    Article  ADS  MathSciNet  Google Scholar 

  4. D.W. McLaughlin and A.C. Scott, Phys. Rev. A 18, 1652 (1978).

    Article  ADS  Google Scholar 

  5. V.I. Karpman, Pis’ina Zh. Eksp. Teor. Fiz. 25, 296 (1977) [JETP Lett. 25, 271 (1977)].

    Google Scholar 

  6. V.I. Karpman and E.M. Maslov, Zh. Eksp. Teor. Fiz. 73, 537 (1977) [Soy. Phys. - JETP 46, 281 (1977)].

    Google Scholar 

  7. D.J. Kaup and A.C. Newell, Proc. R. Soc. London Ser. A 361, 413 (1978).

    Google Scholar 

  8. Yuri S. Kivshar and Borsi A, Malomed, Rev. Mod. Phys. 61, 763 (1989).

    Google Scholar 

  9. L.F. Mollenauer, J.P. Gordon and M.N. Islam, IEEE J. Quan. Elec., QE-22 157–173 (1986).

    Google Scholar 

  10. K. Smith and L.F. Mollenauer, Optics Letters 14, 1284–1286 (1989).

    Article  ADS  Google Scholar 

  11. D.J. Kaup, J. Math. Anal. Appl. 54, 849 (1976).

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kaup, D.J. (1992). Second-Order Perturbations for Solitons. In: Abdullaev, F., Bishop, A.R., Pnevmatikos, S. (eds) Nonlinearity with Disorder. Springer Proceedings in Physics, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84774-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-84774-5_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84776-9

  • Online ISBN: 978-3-642-84774-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics