Publication Date
2006
Journal or Book Title
Journal of Physics A: Mathematical and General
Abstract
We consider nonlinear Klein–Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbours) may preserve either standardly defined linear momentum or standardly defined total energy but not both. This has a variety of intriguing implications for the 'non-potential' discretizations that preserve only the linear momentum, such as the self-accelerating or self-decelerating motion of coherent structures such as discrete kinks in these nonlinear lattices.
Volume
39
Issue
23
Recommended Citation
Dmitriev, S v. and Kevrekidis, PG, "Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and linear momentum" (2006). Journal of Physics A: Mathematical and General. 1063.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1063
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://iopscience.iop.org/0305-4470/39/23/003/