Non-linear effects in quasi-one-dimensional models of condensed matter theory

A survey of non-linear (soliton-like) effects in certain models of condensed matter theory is given. The corresponding non-linear evolution equations are obtained and examined with due respect for the existence of localized finite energy solutions. Some integrable reductions and their properties are...

Full description

Saved in:
Bibliographic Details
Published in:Physics reports 1984-01, Vol.104 (1), p.1-86
Main Authors: Makhankov, V.G., Fedyanin, V.K.
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
General theory
Lattice dynamics
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A survey of non-linear (soliton-like) effects in certain models of condensed matter theory is given. The corresponding non-linear evolution equations are obtained and examined with due respect for the existence of localized finite energy solutions. Some integrable reductions and their properties are discussed in a manner understanble for pedestrians. Finally, possible applications of the theory to physical (and even experimental) studies in condensed matter physics are listed including simple calculations of dynamical structure factors and soliton statistics.
ISSN:0370-1573
1873-6270
DOI:10.1016/0370-1573(84)90106-6