Loading...
Thumbnail Image
Publication

On some classes of mKdV periodic solutions

Citations
Altmetric:
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.
Type
article
article
Date
2004-01-01
Publisher
Degree
Advisors
License
License