Nonsingularity of the direct scattering transform for the KP-2 equation with real exponentially decaying at infinity potential
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.solv-int/9509010,
title = {Nonsingularity of the direct scattering transform for the KP-2 equation with real exponentially decaying at infinity potential},
author = {P. G. Grinevich},
journal= {arXiv preprint arXiv:solv-int/9509010},
year = {2008}
}
Comments
19 pages, LaTeX, 1 picture in PostScript format included in the end of the paper and 3 style files