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Breather lattice and its stabilization for the modified Korteweg-de Vries equation
P G Kevrekidis1, Avinash Khare, A Saxena
1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
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.