PROPAGATION OF SOLITARY WAVES ON LOSSY NONLINEAR TRANSMISSION LINES-Reference-Cited by-同舟云学术

PROPAGATION OF SOLITARY WAVES ON LOSSY NONLINEAR TRANSMISSION LINES

Published:2009-01-10 Issue:01 Volume:23 Page:1-18
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

KENGNE E.¹²,VAILLANCOURT R.²

Affiliation:

1. Department of Mathematics & Computer Science, Faculty of Science, University of Dschang, P.O. Box 4509, Douala, Republic of Cameroon

2. Department of Mathematics and Statistics, Faculty of Science, University of Ottawa, 585 King Edward, ON K1N 6N5, Ottawa, Canada

Abstract

We present a lossy nonlinear transmission RLC line and show how the coupled Ginzburg–Landau equations can be derived in the small amplitude and long wavelength limit using a standard reductive perturbation method and complex expansion. Soliton-like solution of the simplified equation was searched and the instability of a class of phase-winding solutions was explored.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979209049619

Reference59 articles.

1. J. S. Russell, Rep. 14th Meeting of the British Association for the Advancement of Science (1844) p. 311.

2. Solitons

3. Solitons and the Inverse Scattering Transform

4. Optical Solitons

5. Validity of mobility universality for scaled metal–oxide–semiconductor field-effect transistors down to 100 nm gate length

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