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

Kevrekidis, P. G. ; Khare, Avinash ; Saxena, A. (2003) Breather lattice and its stabilization for the modified Korteweg-de Vries equation Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 68 (4). 047701 _1-047701 _4. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v68/i4/e047701

Related URL: http://dx.doi.org/10.1103/PhysRevE.68.047701

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.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:83276
Deposited On:20 Feb 2012 06:29
Last Modified:19 May 2016 00:11

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