Breather lattice and its stabilization for the modified Korteweg-de Vries equation
Pattern Formation and Solitons
2009-11-10 v1
Abstract
We obtain an exact solution for the breather lattice solution of the modified Korteweg-de Vries (MKdV) equation. Numerical simulation of the breather lattice demonstrates its instability due to the breather-breather interaction. However, such multi-breather structures can be stabilized through the concurrent application of ac driving and viscous damping terms.
Keywords
Cite
@article{arxiv.nlin/0309003,
title = {Breather lattice and its stabilization for the modified Korteweg-de Vries equation},
author = {P. G. Kevrekidis and Avinash Khare and A. Saxena},
journal= {arXiv preprint arXiv:nlin/0309003},
year = {2009}
}
Comments
6 pages, 3 figures, Phys. Rev. E (in press)