Journal article
Normal form for travelling kinks in discrete Klein–Gordon lattices
Abstract
We study travelling kinks in the spatial discretizations of the nonlinear Klein–Gordon equation, which include the discrete ϕ4 lattice and the discrete sine-Gordon lattice. The differential advance-delay equation for travelling kinks is reduced to the normal form, a scalar fourth-order differential equation, near the quadruple zero eigenvalue. We show numerically the non-existence of monotonic kinks (heteroclinic orbits between adjacent …
Authors
Iooss G; Pelinovsky DE
Journal
Physica D Nonlinear Phenomena, Vol. 216, No. 2, pp. 327–345
Publisher
Elsevier
Publication Date
April 2006
DOI
10.1016/j.physd.2006.03.012
ISSN
0167-2789