Breather lattice and its stabilization for the modified Korteweg–de Vries equation

Authors

PG Kevrekidis, University of Massachusetts - AmherstFollow

Publication Date

2003

Journal or Book Title

Physics Review E

Abstract

We obtain an exact solution for the breather lattice solution of the modified Korteweg–de Vries equation. Numerical simulation of the breather lattice demonstrates its instability due to the breather-breather interaction. However, such multibreather structures can be stabilized through the concurrent application of ac driving and viscous damping terms.

Comments

This is the pre-published version harvested from arXiv. The published version is located at http://pre.aps.org/abstract/PRE/v68/i4/e047701

Volume

68

Issue

4

Recommended Citation

Kevrekidis, PG, "Breather lattice and its stabilization for the modified Korteweg–de Vries equation" (2003). Physics Review E. 1140.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1140