A quasi-continuous description of a nonlinear transmission line

Philip Rosenau

doi:10.1088/0031-8949/34/6B/020

A quasi-continuous description of a nonlinear transmission line

Philip Rosenau^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

129 Scopus citations

Abstract

We present a systematic approach to derive an equation describing the propagation of pulses along a transmission line made of a large number of nonlinear LC-circuits. This equation correctly captures the leading order effects due the discreteness of the line and describes a two-sided wave propagation, nonlinear wave-wave interactions, and wave-wall interactions. In contradistinction to previous works, our method is not limited to weakly nonlinear disturbances.

Original language	English
Pages (from-to)	827-829
Number of pages	3
Journal	Physica Scripta
Volume	34
Issue number	6
DOIs	https://doi.org/10.1088/0031-8949/34/6B/020
State	Published - 1 Dec 1986
Externally published	Yes

Access to Document

10.1088/0031-8949/34/6B/020

Cite this

@article{79a2316e80fa4e339cfdcaac4e68a2a4,

title = "A quasi-continuous description of a nonlinear transmission line",

abstract = "We present a systematic approach to derive an equation describing the propagation of pulses along a transmission line made of a large number of nonlinear LC-circuits. This equation correctly captures the leading order effects due the discreteness of the line and describes a two-sided wave propagation, nonlinear wave-wave interactions, and wave-wall interactions. In contradistinction to previous works, our method is not limited to weakly nonlinear disturbances.",

author = "Philip Rosenau",

year = "1986",

month = dec,

day = "1",

doi = "10.1088/0031-8949/34/6B/020",

language = "אנגלית",

volume = "34",

pages = "827--829",

journal = "Physica Scripta",

issn = "0031-8949",

publisher = "Institute of Physics",

number = "6",

}

TY - JOUR

T1 - A quasi-continuous description of a nonlinear transmission line

AU - Rosenau, Philip

PY - 1986/12/1

Y1 - 1986/12/1

N2 - We present a systematic approach to derive an equation describing the propagation of pulses along a transmission line made of a large number of nonlinear LC-circuits. This equation correctly captures the leading order effects due the discreteness of the line and describes a two-sided wave propagation, nonlinear wave-wave interactions, and wave-wall interactions. In contradistinction to previous works, our method is not limited to weakly nonlinear disturbances.

AB - We present a systematic approach to derive an equation describing the propagation of pulses along a transmission line made of a large number of nonlinear LC-circuits. This equation correctly captures the leading order effects due the discreteness of the line and describes a two-sided wave propagation, nonlinear wave-wave interactions, and wave-wall interactions. In contradistinction to previous works, our method is not limited to weakly nonlinear disturbances.

UR - http://www.scopus.com/inward/record.url?scp=0347521685&partnerID=8YFLogxK

U2 - 10.1088/0031-8949/34/6B/020

DO - 10.1088/0031-8949/34/6B/020

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0347521685

SN - 0031-8949

VL - 34

SP - 827

EP - 829

JO - Physica Scripta

JF - Physica Scripta

IS - 6

ER -

A quasi-continuous description of a nonlinear transmission line

Abstract

Access to Document

Other files and links

Fingerprint

Cite this