Skip to main content
SpringerLink
Log in

Multisoliton phase shifts for the modified Korteweg-de Vries equation in the case of a nonzero reflection coefficient

  • Chapter
  • First Online:
Asymptotic Analysis of Soliton Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1232))

  • 466 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
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. M.J. Ablowitz, D.J. Kaup, A.C. Newell and H. Segur, The inverse scattering transform. Fourier analysis for nonlinear problems, Stud. Appl. Math. 53 (1974), 249–315.

    Article  MathSciNet  MATH  Google Scholar 

  2. M.J. Ablowitz and Y. Kodama, Note on asymptotic solutions of the Korteweg-de Vries equation with solitons, Stud. Appl. Math. 66 (1982), No. 2, 159–170.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. M.J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform, Philadelphia, SIAM, 1981.

    Book  MATH  Google Scholar 

  4. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series, No. 55, U.S. Department of Commerce, 1964.

    Google Scholar 

  5. W. Eckhaus and A. van Harten, The Inverse Scattering Transformation and the Theory of Solitons, North-Holland Mathematics Studies 50, 1981.

    Google Scholar 

  6. J. Gurland, An inequality satisfied by the gamma function, Skand. Aktuarietidskr. 39 (1956), 171–172.

    MathSciNet  MATH  Google Scholar 

  7. J.W. Miles, An envelope soliton problem, SIAM J. Appl. Math. 41 (1981), No. 2, 227–230.

    Article  MathSciNet  MATH  Google Scholar 

  8. P. Schuur, Multisoliton phase shifts in the case of a nonzero reflection coefficient, Phys. Lett. 102A (1984), No. 9, 387–392.

    Article  ADS  MathSciNet  Google Scholar 

  9. P. Schuur, Decomposition and estimates of solutions of the modified Korteweg-de Vries equation on right half lines slowly moving leftward, preprint 342, Mathematical Institute Utrecht (1984).

    Google Scholar 

Download references

Authors
  1. Peter Cornelis Schuur
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this chapter

Cite this chapter

Schuur, P.C. (1986). Multisoliton phase shifts for the modified Korteweg-de Vries equation in the case of a nonzero reflection coefficient. In: Asymptotic Analysis of Soliton Problems. Lecture Notes in Mathematics, vol 1232. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073061

Download citation

  • DOI: https://doi.org/10.1007/BFb0073061

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17203-1

  • Online ISBN: 978-3-540-47387-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation