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nlin.PS2004
On Some Classes of mKdV Periodic Solutions
P. G. Kevrekidis, Avinash Khare, A. Saxena +1
We obtain exact periodic solutions of the positive and negative modified Kortweg-de Vries (mKdV) equations. We examine the dynamical stability of these solitary wave lattices throu…
nlin.PS2003
Breather lattice and its stabilization for the modified Korteweg-de Vries equation
P. G. Kevrekidis, Avinash Khare, A. Saxena
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 insta…