Dissipative soliton stabilization by several nonlinear gradient terms

Orazio Descalzi; Helmut R. Brand

doi:10.1063/1.5145280

Dissipative soliton stabilization by several nonlinear gradient terms

Título traducido de la contribución: Estabilización de solitones disipativos mediante varios términos de gradiente no lineal

Orazio Descalzi^*, Helmut R. Brand

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

11 Citas (Scopus)

Resumen

Estudiamos una única ecuación cúbica compleja de Ginzburg-Landau con términos de gradiente no lineal analítica y numéricamente. Esta única ecuación permite la existencia de solitones disipativos estables exclusivamente debido a términos de gradiente no lineal. Arrojamos nueva luz sobre el circuito de retroalimentación, lo que conduce a solitones disipativos (DS) al analizar un análogo mecánico en función de la magnitud de la amplitud. Además, presentamos resultados analíticos que incorporan cuatro términos de gradiente no lineal y derivamos las condiciones necesarias para la existencia de SD. También aclaramos en detalle para el caso de la contribución Raman el comportamiento de escalamiento para el límite del término Raman que desaparece.

Título traducido de la contribución	Estabilización de solitones disipativos mediante varios términos de gradiente no lineal
Idioma original	Inglés
Número de artículo	043119
Publicación	Chaos
Volumen	30
N.º	4
DOI	https://doi.org/10.1063/1.5145280
Estado	Publicada - 1 abr. 2020

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Publisher Copyright:
© 2020 Author(s).

Palabras clave

Breathing localized solutions
Convection
Pulsesstates

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title = "Dissipative soliton stabilization by several nonlinear gradient terms",

abstract = "We study a single cubic complex Ginzburg-Landau equation with nonlinear gradient terms analytically and numerically. This single equation allows for the existence of stable dissipative solitons exclusively due to nonlinear gradient terms. We shed new light on the feedback loop, leading to dissipative solitons (DSs) by analyzing a mechanical analog as a function of the magnitude of the amplitude. In addition, we present analytic results incorporating four nonlinear gradient terms and derive necessary conditions for the existence of DSs. We also elucidate in detail for the case of the Raman contribution the scaling behavior for the limit of the vanishing Raman term.",

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author = "Orazio Descalzi and Brand, {Helmut R.}",

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PY - 2020/4/1

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N2 - We study a single cubic complex Ginzburg-Landau equation with nonlinear gradient terms analytically and numerically. This single equation allows for the existence of stable dissipative solitons exclusively due to nonlinear gradient terms. We shed new light on the feedback loop, leading to dissipative solitons (DSs) by analyzing a mechanical analog as a function of the magnitude of the amplitude. In addition, we present analytic results incorporating four nonlinear gradient terms and derive necessary conditions for the existence of DSs. We also elucidate in detail for the case of the Raman contribution the scaling behavior for the limit of the vanishing Raman term.

AB - We study a single cubic complex Ginzburg-Landau equation with nonlinear gradient terms analytically and numerically. This single equation allows for the existence of stable dissipative solitons exclusively due to nonlinear gradient terms. We shed new light on the feedback loop, leading to dissipative solitons (DSs) by analyzing a mechanical analog as a function of the magnitude of the amplitude. In addition, we present analytic results incorporating four nonlinear gradient terms and derive necessary conditions for the existence of DSs. We also elucidate in detail for the case of the Raman contribution the scaling behavior for the limit of the vanishing Raman term.

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KW - Convection

KW - Pulsesstates

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Dissipative soliton stabilization by several nonlinear gradient terms

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