Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053373 | Applied Mathematics Letters | 2018 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
T.-S. Lin, D. Tseluiko, M.G. Blyth, S. Kalliadasis,