PROPAGATION OF SOLITARY WAVES ON LOSSY NONLINEAR TRANSMISSION LINES

被引：16

作者：

Kengne, E. ^{[1
,2
]}

Vaillancourt, R. ^{[2
]}

机构：

[1] Univ Dschang, Dept Math & Comp Sci, Fac Sci, Douala, Cameroon

[2] Univ Ottawa, Dept Math & Stat, Fac Sci, Ottawa, ON K1N 6N5, Canada

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2009年 / 23卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Nonlinear transmission line; complex coupled Ginzburg-Landau equations; solitary wave-like solution; MODULATIONAL INSTABILITY; SOLITONS; EQUATIONS; DYNAMICS; LATTICE; MODES;

D O I：

10.1142/S0217979209049619

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

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.

引用

页码：1 / 18

页数：18

共 59 条

[1]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA, DOI DOI 10.1137/1.9781611970883

[2]

Abramowitz M., 1972, HDB MATH FUNCTIONS

[3] Extremely wideband signal shaping using one- and two-dimensional nonuniform nonlinear transmission lines - art. no. 054901 [J].

Afshari, E ;

Bhat, HS ;

Hajimiri, A ;

Marsden, JE .

JOURNAL OF APPLIED PHYSICS, 2006, 99 (05)

[4] Nonlinear transmission lines for pulse shaping in silicon [J].

Afshari, E ;

Hajimiri, A .

IEEE JOURNAL OF SOLID-STATE CIRCUITS, 2005, 40 (03) :744-752

[5] Synchronization of spatiotemporal chaos: The regime of coupled spatiotemporal intermittency [J].

Amengual, A ;

HernandezGarcia, E ;

Montagne, R ;

SanMiguel, M .

PHYSICAL REVIEW LETTERS, 1997, 78 (23) :4379-4382

[6] The world of the complex Ginzburg-Landau equation [J].

Aranson, IS ;

Kramer, L .

REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :99-143

[7] Solitary wave complexes in two-component condensates [J].

Berloff, NG .

PHYSICAL REVIEW LETTERS, 2005, 94 (12)

[8] MODULATIONAL INSTABILITY OF 2 COUNTERPROPAGATING WAVES IN AN EXPERIMENTAL TRANSMISSION-LINE [J].

BILBAULT, JM ;

MARQUIE, P ;

MICHAUX, B .

PHYSICAL REVIEW E, 1995, 51 (01) :817-820

[9] IMPULSE COMPRESSION USING SOLITON EFFECTS IN A MONOLITHIC GAAS CIRCUIT [J].

CASE, M ;

KAMEGAWA, M ;

YU, R ;

RODWELL, MJW ;

FRANKLIN, J .

APPLIED PHYSICS LETTERS, 1991, 58 (02) :173-175

[10]

Chandrasekharan K., 1985, ELLIPTIC FUNCTIONS

← 1 2 3 4 5 6 →