On the moving pulse solutions in systems with broken parity

Orazio Descalzi; Enrique Tirapegui

doi:10.1016/j.physa.2004.04.053

On the moving pulse solutions in systems with broken parity

Orazio Descalzi^*, Enrique Tirapegui

^*Corresponding author for this work

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

6 Scopus citations

Abstract

We study analytically a system sustaining stable moving localized structures, namely, the one-dimensional quintic complex Ginzburg-Landau (G-L) equation with non-linear gradients. We obtain approximate solutions for the stable moving pulse and its velocity. The results are in excellent agreement with direct numerical simulations.

Original language	English
Pages (from-to)	9-15
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	342
Issue number	1-2 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.physa.2004.04.053
State	Published - 15 Oct 2004

Bibliographical note

Funding Information:
O.D thanks the support of FAI (Universidad de los Andes, Project “Sistemas Reacción-Difusión Lejos del equilibrio”). E.T wish to thank FONDECYT (P.1020374) and FONDAP (P.11980002).

Keywords

Ginzburg-Landau equation
Moving localized structures

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10.1016/j.physa.2004.04.053

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title = "On the moving pulse solutions in systems with broken parity",

abstract = "We study analytically a system sustaining stable moving localized structures, namely, the one-dimensional quintic complex Ginzburg-Landau (G-L) equation with non-linear gradients. We obtain approximate solutions for the stable moving pulse and its velocity. The results are in excellent agreement with direct numerical simulations.",

keywords = "Ginzburg-Landau equation, Moving localized structures",

author = "Orazio Descalzi and Enrique Tirapegui",

note = "Funding Information: O.D thanks the support of FAI (Universidad de los Andes, Project “Sistemas Reacci{\'o}n-Difusi{\'o}n Lejos del equilibrio”). E.T wish to thank FONDECYT (P.1020374) and FONDAP (P.11980002).",

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T1 - On the moving pulse solutions in systems with broken parity

AU - Descalzi, Orazio

AU - Tirapegui, Enrique

N1 - Funding Information: O.D thanks the support of FAI (Universidad de los Andes, Project “Sistemas Reacción-Difusión Lejos del equilibrio”). E.T wish to thank FONDECYT (P.1020374) and FONDAP (P.11980002).

PY - 2004/10/15

Y1 - 2004/10/15

N2 - We study analytically a system sustaining stable moving localized structures, namely, the one-dimensional quintic complex Ginzburg-Landau (G-L) equation with non-linear gradients. We obtain approximate solutions for the stable moving pulse and its velocity. The results are in excellent agreement with direct numerical simulations.

AB - We study analytically a system sustaining stable moving localized structures, namely, the one-dimensional quintic complex Ginzburg-Landau (G-L) equation with non-linear gradients. We obtain approximate solutions for the stable moving pulse and its velocity. The results are in excellent agreement with direct numerical simulations.

KW - Ginzburg-Landau equation

KW - Moving localized structures

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U2 - 10.1016/j.physa.2004.04.053

DO - 10.1016/j.physa.2004.04.053

M3 - Article

AN - SCOPUS:4644283093

SN - 0378-4371

VL - 342

SP - 9

EP - 15

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2 SPEC. ISS.

ER -

On the moving pulse solutions in systems with broken parity

Abstract

Bibliographical note

Keywords

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