Nonsingularity of the direct scattering transform for the KP-2 equation with real exponentially decaying at infinity potential

Details Nonsingularity of the direct scattering transform for the KP-2 equation with real exponentially decaying at infinity potential Nonsingularity of the direct scattering transform for the KP-2 equation with real exponentially decaying at infinity potential

1995-09-25

arxiv.org/abs/solv-int/9509010v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages, LaTeX, 1 picture in PostScript format included in the end of the paper and 3 style files

Scientific paper

We study the direct spectral transform for the heat equation, associated with
the KP-2 equation. We show, that for real nonsingular exponentially decaying at
infinity potentials the direct problem is nonsingular for arbitrary large
potentials. Earlier this statement was proved only for potentials, satisfying
the ``small norm'' assumption.

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