Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection

Martel, Carlos; Knobloch, Edgar y Vega de Prada, José Manuel (2003). Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection. "Physica D: Nonlinear Phenomena", v. 174 (n. 1-4); pp. 198-217. ISSN 0167-2789. https://doi.org/10.1016/S0167-2789(02)00691-7.

Descripción

Título: Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection
Autor/es:
  • Martel, Carlos
  • Knobloch, Edgar
  • Vega de Prada, José Manuel
Tipo de Documento: Artículo
Título de Revista/Publicación: Physica D: Nonlinear Phenomena
Fecha: Enero 2003
Volumen: 174
Materias:
Palabras Clave Informales: Parametric resonance; Counterpropagating waves; Weak dispersion; Faraday waves
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

The dynamics of parametrically driven counterpropagating waves in a one-dimensional extended nearly conservative annular system are described by two coupled, damped, parametrically driven nonlinear Schrödinger (NLS) equations with opposite transport terms due to the group velocity, and small dispersion. The system is characterized by two length scales defined by a balance between (a) forcing and dispersion (the dispersive scale), and (b) forcing and advection at the group velocity (the transport scale). Both are large compared to the basic wavelength of the pattern. The dispersive scale plays an important role in the structure of solutions arising from secondary instabilities of frequency-locked spatially uniform standing waves (SW), and manifests itself both in traveling pulses or fronts and in extended spatio-temporal chaos, depending on the signs of the dispersion coefficient and nonlinearity. Author Keywords: Parametric resonance; Counterpropagating waves; Weak dispersion; Faraday waves

Más información

ID de Registro: 6053
Identificador DC: http://oa.upm.es/6053/
Identificador OAI: oai:oa.upm.es:6053
Identificador DOI: 10.1016/S0167-2789(02)00691-7
URL Oficial: http://www.sciencedirect.com
Depositado por: Memoria de Investigacion 2
Depositado el: 17 Feb 2011 10:18
Ultima Modificación: 20 Abr 2016 14:41
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