Skip to main content
Log in

Soliton propagation along periodic-loaded transmission line

  • Contributed Papers
  • Published:
Applied physics Aims and scope Submit manuscript

Abstract

Nonlinear dispersive wave propagation along a transmission line periodically loaded with varactor diodes is examined. Assuming small nonlinearity and weak dispersion the theoretical description may be reduced to the wellknown KdV equation. Accordingly, the presented measurements show how a sine-wave breaks up into a number of spikes and then recurs which therefore may be interpreted on the basis of soliton theory: Experimental results on soliton development and interaction are given and the recurrence phenomena of the Fermi-Pasta-Ulam problem are investigated. The measurements are found to be in good agreement with theoretical and numerical evaluations.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. C. Scott, F. Y. F. Chu, D. W. McLaughlin: Proc. IEEE61, 1443–1483 (1973)

    MathSciNet  Google Scholar 

  2. R. Hirota, K. Suzuki: Proc. IEEE61, 1483–1491 (1973); A. Noguchi: Elect. Commun. Jap.57-A, 9–13 (1974)

    Article  Google Scholar 

  3. R. K. Bullough R. K. Dodd: InSynergetics, a Workshop, ed by H. Haken (Springer Berlin, Heidelberg, New York 1977) pp. 92–119

    Google Scholar 

  4. J. Kolosick, D. L. Landt, H. C. S. Hsuan, K. E. Lonngren: Appl. Phys.2, 129–131 (1973)

    Article  ADS  Google Scholar 

  5. D. Jäger, F.-J. Tegude: Appl. Phys.15, 393–397 (1978)

    Article  ADS  Google Scholar 

  6. R. M. Miura: SIAM Rev.18, 412–459 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  7. K. Daikoku, Y. Mizushima, T. Tamana: Jap. J. Appl. Phys.14, 367–376 (1975)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jäger, D. Soliton propagation along periodic-loaded transmission line. Appl. Phys. 16, 35–38 (1978). https://doi.org/10.1007/BF00931418

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00931418

PACS

Navigation