Stationary and moving breathers in (2+1)-dimensional O(3) nonlinear $\sigma$-model
Pattern Formation and Solitons
2016-05-04 v1
Abstract
The formation and evolution of stationary and moving breather solutions in (2+1)-dimensional O(3) nonlinear -model are investigated. The analytical form of oscillating solutions for (2+1)-dimensional sine-Gordon equation, which evolve to periodic (breather) radially symmetric solutions is determined. On the basis of the found solutions by adding the rotations to the A3-field vector in isotopic space of S^2, the solutions for the O(3) nonlinear -model are obtained. By numerical study of the solutions dynamics their stability in a stationary and a moving state for quite a long time (45000 cycles), although in the presence of weak radiation is shown.
Keywords
Cite
@article{arxiv.1605.01000,
title = {Stationary and moving breathers in (2+1)-dimensional O(3) nonlinear $\sigma$-model},
author = {F. Sh. Shokirov},
journal= {arXiv preprint arXiv:1605.01000},
year = {2016}
}
Comments
11 pages, 6 figures