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

Te-Sheng Lin, D. Tseluiko, M. G. Blyth*, S. Kalliadasis


研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)


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.

頁(從 - 到)291-297
期刊Applied Mathematics Letters
出版狀態Published - 1 十二月 2018


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