Liquid Film Coating a Fiber as a Model System for the Formation of Bound States in Active Dispersive-Dissipative Nonlinear Media

被引：57

作者：

Duprat, C. ^{[1
]}

Giorgiutti-Dauphine, F. ^{[1
]}

Tseluiko, D. ^{[2
]}

Saprykin, S. ^{[2
]}

Kalliadasis, S. ^{[2
]}

机构：

[1] Univ Paris 11, Univ Paris 06, CNRS, Lab FAST, F-91405 Orsay, France

[2] Univ London Imperial Coll Sci Technol & Med, Dept Chem Engn, London SW7 2AZ, England

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 23期

基金：

欧盟第七框架计划; 英国工程与自然科学研究理事会;

关键词：

SOLITONS; EQUATION;

D O I：

10.1103/PhysRevLett.103.234501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the coherent-structure interaction and the formation of bound states in active dispersive-dissipative nonlinear media using a viscous film coating a vertical fiber as a prototype. The coherent structures in this case are droplike pulses that dominate the evolution of the film. We study experimentally the interaction dynamics and show evidence for formation of bound states. A theoretical explanation is provided through a coherent-structures theory of a simple model for the flow.

引用

页数：4

共 19 条

[1] FINITE MODE ANALYSIS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION [J].

ALFARO, CM ;

BENGURIA, RD ;

DEPASSIER, MC .

PHYSICA D, 1992, 61 (1-4) :1-5

[2]

[Anonymous], 2008, DISSIPATIVE SOLITONS

[3]

Ballentine LE., 2014, Quantum Mechanics: A Modern Development

[4]

Chang H.-H., 2002, Complex Wave Dynamics on Thin Films

[5] DISSIPATIVE SOLITONS [J].

CHRISTOV, CI ;

VELARDE, MG .

PHYSICA D-NONLINEAR PHENOMENA, 1995, 86 (1-2) :323-347

[6] Dancing Volvox: Hydrodynamic Bound States of Swimming Algae [J].

Drescher, Knut ;

Leptos, Kyriacos C. ;

Tuval, Idan ;

Ishikawa, Takuji ;

Pedley, Timothy J. ;

Goldstein, Raymond E. .

PHYSICAL REVIEW LETTERS, 2009, 102 (16)

[7] Absolute and convective instabilities of a viscous film flowing down a vertical fiber [J].

Duprat, C. ;

Ruyer-Quil, C. ;

Kalliadasis, S. ;

Giorgiutti-Dauphine, F. .

PHYSICAL REVIEW LETTERS, 2007, 98 (24)

[8] Spatial evolution of a film flowing down a fiber [J].

Duprat, C. ;

Ruyer-Quil, C. ;

Giorgiutti-Dauphine, F. .

PHYSICS OF FLUIDS, 2009, 21 (04)

[9] EQUATION-OF-MOTION FOR INTERACTING PULSES [J].

EI, S ;

OHTA, T .

PHYSICAL REVIEW E, 1994, 50 (06) :4672-4678

[10] The Motion of Weakly Interacting Pulses in Reaction-Diffusion Systems [J].

Ei S.-I. .

Journal of Dynamics and Differential Equations, 2002, 14 (1) :85-137

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