Continuation methods for time-periodic travelling-wave solutions to evolution equations

DOI10.1016/j.aml.2018.06.034zbMath1412.65177OpenAlexW2844426588MaRDI QIDQ1726474

D. Tseluiko, Te-Sheng Lin, Serafim Kalliadasis, Mark G. Blyth

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://ueaeprints.uea.ac.uk/id/eprint/67498/4/Accepted_manuscript.pdf

zbMATH Keywords

evolution equationnumerical continuationlong-wave model

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Thin fluid films (76A20) Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical methods for discrete and fast Fourier transforms (65T50) Bifurcations in context of PDEs (35B32) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Traveling wave solutions (35C07)

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Uses Software

• FFTW
• AUTO-07P
• pde2path

Cites Work

• Unnamed Item
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• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• Two-dimensional pulse dynamics and the formation of bound states on electrified falling films
• Stability of film flow over inclined topography based on a long-wave nonlinear model