Breather lattice and its stabilization for the modified Korteweg-de Vries equation
arXiv:nlin/0309003 · doi:10.1103/PhysRevE.68.047701
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.
6 pages, 3 figures, Phys. Rev. E (in press)