Focusing mKdV Breather Solutions with Nonvanishing Boundary Conditions by the Inverse Scattering Method

Details Focusing mKdV Breather Solutions with Nonvanishing Boundary Conditions by the Inverse Scattering Method Focusing mKdV Breather Solutions with Nonvanishing Boundary Conditions by the Inverse Scattering Method

2011-10-18

arxiv.org/abs/1110.3931v1

Physics

Mathematical Physics

1 figure; submitted september 2011

Scientific paper

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.

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