Discrete variants of the phi4 model: exceptional discretizations, conservation laws and related topics
Pattern Formation and Solitons
2018-10-26 v1
Abstract
Exceptional dicretizations of the phi4 model are reviewed, corresponding conservation laws are reported, and the properties of static and moving discrete kinks are discussed. Different approaches to producing such discretizations are given and unifying perspectives thereof are brought forth. It is also demonstrated that the high kink mobility in the exceptional dicretizations makes it possible to analyze kink-antikink collisions in the regime of high discreteness.
Keywords
Cite
@article{arxiv.1810.10779,
title = {Discrete variants of the phi4 model: exceptional discretizations, conservation laws and related topics},
author = {Sergey V. Dmitriev and Panayotis G. Kevrekidis},
journal= {arXiv preprint arXiv:1810.10779},
year = {2018}
}
Comments
24 pages, 6 figures