Soliton pair interaction law in parametrically driven Newtonian fluid-Reference-Cited by-同舟云学术

Soliton pair interaction law in parametrically driven Newtonian fluid

Published:2009-08-28 Issue:1901 Volume:367 Page:3213-3226
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Clerc M. G.¹,Coulibaly S.²,Mujica N.¹,Navarro R.¹,Sauma T.¹

Affiliation:

1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile

2. Laboratoire de Cristallographie et Physique Moléculaire (LACPM), UFR Sciences des Structures de la Matière et Technologies (UFR SSMT), Université de Cocody, Abidjan, Côte d’Ivoire

Abstract

An experimental and theoretical study of the motion and interaction of the localized excitations in a vertically driven small rectangular water container is reported. Close to the Faraday instability, the parametrically driven damped nonlinear Schrödinger equation models this system. This model allows one to characterize the pair interaction law between localized excitations. Experimentally we have a good agreement with the pair interaction law.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2009.0072

Reference24 articles.

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3. Stable Complexes of Parametrically Driven, Damped Nonlinear Schrödinger Solitons

4. Lorenz Bifurcation: Instabilities in Quasireversible Systems

5. The Maxwell-Bloch description of 1/1 resonances

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