Focusing mKdV breather solutions with nonvanishing boundary condition by the inverse scattering method

Abstract

Using the Inverse Scattering Method with a nonvanishing boundary condition, we obtain an explicit breather solution with nonzero vacuum parameter b of the focusing modified Kortewegde Vries (mKdV) equation. Moreover, taking the limiting case of zero frequency, we obtain a generalization of the double pole solution introduced by M. Wadati et al. © M. A. Alejo.