NDLI: Existence of subsonic heteroclinic waves for the Frenkel–Kontorova model with piecewise quadratic on-site potential

Content Provider	Scilit
Author	Kreiner, Carl-Friedrich Zimmer, Johannes
Copyright Year	2011
Description	Journal: Nonlinearity We give an existence proof for heteroclinic wave solutions to the Frenkel–Kontorova model of dislocation dynamics. The on-site potential is assumed to be piecewise quadratic. The framework employed here allows us to determine explicitly a regime of subsonic velocities for which travelling waves exist.
Related Links	http://iopscience.iop.org/article/10.1088/0951-7715/24/4/007/pdf
Ending Page	1163
Page Count	27
Starting Page	1137
ISSN	09517715
e-ISSN	13616544
DOI	10.1088/0951-7715/24/4/007
Journal	Nonlinearity
Issue Number	4
Volume Number	24
Language	English
Publisher	IOP Publishing
Publisher Date	2011-03-03
Access Restriction	Open
Subject Keyword	Journal: Nonlinearity Site Potential Subsonic Heteroclinic Heteroclinic Waves Kontorova Model Piecewise Quadratic
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics

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