Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian
Annales de l'I.H.P. Analyse non linéaire, Volume 32 (2015) no. 4, pp. 785-812.

In this paper, we show the existence and qualitative properties of traveling wave solutions to the Allen–Cahn equation with fractional Laplacians. A key ingredient is the estimation of the traveling speed of traveling wave solutions.

DOI: 10.1016/j.anihpc.2014.03.005
Classification: 35B32,  35C07,  35J20,  35R09,  35R11,  45G05,  47G10
Keywords: Traveling wave solution, Traveling speed, Allen–Cahn equation, Fractional Laplacian, Continuation method, Hamiltonian identity
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Gui, Changfeng; Zhao, Mingfeng. Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian. Annales de l'I.H.P. Analyse non linéaire, Volume 32 (2015) no. 4, pp. 785-812. doi : 10.1016/j.anihpc.2014.03.005. http://archive.numdam.org/articles/10.1016/j.anihpc.2014.03.005/

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