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Mathematical Problems in Engineering
Volume 2018 (2018), Article ID 2869731, 7 pages
https://doi.org/10.1155/2018/2869731
Research Article

Modulation of Pulse Train Using Leapfrogging Pulses Developed in Unbalanced Coupled Nonlinear Transmission Lines

Department of Electrical and Electronic Engineering, Kanagawa Institute of Technology, 1030 Shimoogino, Atsugi, Kanagawa 243-0292, Japan

Correspondence should be addressed to Koichi Narahara; pj.ca.ti-awaganak.ele@araharan

Received 18 October 2017; Accepted 14 January 2018; Published 12 February 2018

Academic Editor: Ben T. Nohara

Copyright © 2018 Koichi Narahara. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. A. Gear and R. Grimshaw, “Weak and strong interactions between internal solitary waves,” Studies in Applied Mathematics, vol. 70, no. 3, pp. 235–258, 1984. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. S. Y. Lou, B. Tong, H.-c. Hu, and X.-y. Tang, “Coupled KdV equations derived from two-layer fluids,” Journal of Physics A: Mathematical and General, vol. 39, no. 3, pp. 513–527, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. A. K. Liu, T. Kubota, and D. R. Ko, “Resonant transfer of energy between nonlinear waves in neighboring pycnoclines,” Studies in Applied Mathematics, vol. 63, no. 1, pp. 25–45, 1980. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. A. K. Liu, N. R. Pereira, and D. R. Ko, “Weakly interacting internal solitary waves in neighbouring pycnoclines,” Journal of Fluid Mechanics, vol. 122, pp. 187–194, 1982. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. P. D. Weidman and M. Johnson, “Experiments on leapfrogging internal solitary waves,” Journal of Fluid Mechanics, vol. 122, pp. 195–213, 1982. View at Publisher · View at Google Scholar · View at Scopus
  6. M. Nitsche, P. D. Weidman, R. Grimshaw, M. Ghrist, and B. Fornberg, “Evolution of solitary waves in a two-pycnocline system,” Journal of Fluid Mechanics, vol. 642, pp. 235–277, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. K. Narahara, “Characterization of leapfrogging solitary waves in coupled nonlinear transmission lines,” Nonlinear Dynamics, vol. 81, no. 4, pp. 1805–1814, 2015. View at Publisher · View at Google Scholar · View at Scopus
  8. M. J. W. Rodwell, S. T. Allen, U. Bhattacharya et al., “Active and nonlinear wave propagation devices in ultrafast electronics and optoelectronics,” IEEE, vol. 82, no. 7, pp. 1037–1059, 1994. View at Publisher · View at Google Scholar · View at Scopus
  9. M. Kintis, X. Lan, F. Fong et al., “An MMIC pulse generator using dual nonlinear transmission lines,” IEEE Microwave and Wireless Components Letters, vol. 17, no. 6, pp. 454–456, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. K. Narahara, “Characterization of nonlinear transmission lines for short pulse amplification,” Journal of Infrared, Millimeter, and Terahertz Waves, vol. 31, no. 4, pp. 411–421, 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. A. Jeffrey and T. Kawahara, Asymptotic Methods in Nonlinear Wave Theory, Pitman, London, UK, 1982. View at MathSciNet
  12. B. A. Malomed, “"Leapfrogging" solitons in a system of coupled KdV equations,” Wave Motion, vol. 9, no. 5, pp. 401–411, 1987. View at Publisher · View at Google Scholar · View at Scopus
  13. Y. S. Kivshar and B. A. Malomed, “Solitons in a system of coupled Korteweg-de Vries equations,” Wave Motion, vol. 11, no. 3, pp. 261–269, 1989. View at Publisher · View at Google Scholar · View at Scopus
  14. Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Reviews of Modern Physics, vol. 61, no. 4, pp. 763–915, 1989. View at Publisher · View at Google Scholar · View at Scopus
  15. R. Garg, I. Bahl, and M. Bozzi, Microstrip Lines and Slotlines, Artech House, Boston, Mass, USA, 2013.
  16. J. D. Wright and A. Scheel, “Solitary waves and their linear stability in weakly coupled KdV equations,” Zeitschrift für Angewandte Mathematik und Physik, vol. 58, no. 4, pp. 535–570, 2007. View at Publisher · View at Google Scholar · View at Scopus