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@article{Lin:2018:10.1016/j.aml.2018.06.034,
author = {Lin, T-S and Tseluiko, D and Blyth, MG and Kalliadasis, S},
doi = {10.1016/j.aml.2018.06.034},
journal = {Applied Mathematics Letters},
pages = {291--297},
title = {Continuation methods for time-periodic travelling-wave solutions to evolution equations},
url = {http://dx.doi.org/10.1016/j.aml.2018.06.034},
volume = {86},
year = {2018}
}

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TY  - JOUR
AB  - A numerical continuation method is developed to follow time-periodic travelling-wave solutions of both local and non-local evolution partial differential equations (PDEs). It is found that the equation for the speed of the moving coordinate can be derived naturally from the governing equations together with a condition that breaks the translational symmetry. The derived system of equations allows one to follow the branch of travelling-wave solutions as well as solutions that are time-periodic in a frame of reference travelling at a constant speed. Finally, we show as an example the bifurcation and stability analysis of single and double-pulse waves in long-wave models of electrified falling films.
AU  - Lin,T-S
AU  - Tseluiko,D
AU  - Blyth,MG
AU  - Kalliadasis,S
DO  - 10.1016/j.aml.2018.06.034
EP  - 297
PY  - 2018///
SN  - 0893-9659
SP  - 291
TI  - Continuation methods for time-periodic travelling-wave solutions to evolution equations
T2  - Applied Mathematics Letters
UR  - http://dx.doi.org/10.1016/j.aml.2018.06.034
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000442066500042&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/63763
VL  - 86
ER  -

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