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Article
On some classes of mKdV periodic solutions
Journal of Physics A: Mathematical and General
  • PG Kevrekidis, University of Massachusetts - Amherst
Publication Date
2004
Abstract
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 through direct numerical simulations. While the positive mKdV breather lattice solutions are found to be unstable, the two-soliton lattice solution of the same equation is found to be stable. Similarly, a negative mKdV lattice solution is found to be stable. We also touch upon the implications of these results for the KdV equation.
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://iopscience.iop.org/0305-4470/37/45/014/
Citation Information
PG Kevrekidis. "On some classes of mKdV periodic solutions" Journal of Physics A: Mathematical and General Vol. 37 Iss. 45 (2004)
Available at: http://works.bepress.com/panos_kevrekidis/70/