Publication Date

2004

Journal or Book Title

Journal of Physics A: Mathematical and General

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/

Volume

37

Issue

45

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