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

P. G. Grinevich

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

P. G. Grinevich

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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.

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BibTeX RIS

P. G. Grinevich. 1995-09-25. Nonsingularity of the direct scattering transform for the KP-2 equation with real exponentially decaying at infinity potential. https://arxiv.org/abs/solv-int/9509010

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