Focusing mKdV Breather Solutions with Nonvanishing Boundary Conditions by the Inverse Scattering Method
Mathematical Physics
2011-10-19 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
Using the Inverse Scattering Method with a nonvanishing boundary condition, we obtain the square k^2 of a focusing modified Korteweg-de Vries (mKdV) breather solution with non zero vacuum parameter b^2 . We are able to factorize and simplify it in order to get explicitly the associated mKdV breather solution k with non zero vacuum parameter b. Moreover, taking the limiting case of zero frequency, we obtain a generalization of the Double Pole solution introduced by M.Wadati et al.
Keywords
Cite
@article{arxiv.1110.3931,
title = {Focusing mKdV Breather Solutions with Nonvanishing Boundary Conditions by the Inverse Scattering Method},
author = {Miguel A. Alejo},
journal= {arXiv preprint arXiv:1110.3931},
year = {2011}
}
Comments
1 figure; submitted september 2011