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

P. G. Kevrekidis·Avinash Khare·A. Saxena
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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.

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P. G. Kevrekidis, Avinash Khare, A. Saxena. 2003-09-02. Breather lattice and its stabilization for the modified Korteweg-de Vries equation. https://doi.org/10.1103/physreve.68.047701

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