Two-dimensional patterns of pulses appearing in a thin viscous film flow

DOI10.1016/S0167-2789(97)00063-8zbMath0962.76510OpenAlexW1982269463MaRDI QIDQ1963257

Chien-fon Liu, Toshiyuki Ogawa

Publication date: 24 January 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00063-8

zbMATH Keywords

KdV equationasymptotic analysissystem of ordinary differential equationsBenney equationtwo-dimensional solitary wavesstable fixed pointspulse interactionpulse positions

Mathematics Subject Classification ID

Thin fluid films (76A20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Soliton equations (35Q51) Waves for incompressible viscous fluids (76D33)

Related Items (3)

Decomposition driven interface evolution for layers of binary mixtures. I. Model derivation and stratified base states ⋮ Stability of a two-layer binary-fluid system with a diffuse interface ⋮ Solitons in Viscous Flows

Cites Work

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• On the uniqueness of traveling waves in perturbed Korteweg-de Vries equations
• Travelling wave solutions to a perturbed Korteweg-de Vries equation
• On the Spectra of Pulses in a Nearly Integrable System
• Long Waves on Liquid Films

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