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Remarks on the mass constraint for KP type equations

Luc Molinet·Jean-Claude Saut·Nikolay Tzvetkov
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Abstract

For a rather general class of equations of Kadomtsev-Petviashvili (KP) type, we prove that the zero-mass (in $x$) constraint is satisfied at any non zero time even if it is not satisfied at initial time zero. Our results are based on a precise analysis of the fundamental solution of the linear part and its anti $x$-derivative.

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Luc Molinet, Jean-Claude Saut, Nikolay Tzvetkov. 2006-03-13. Remarks on the mass constraint for KP type equations. https://arxiv.org/abs/math/0603303

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