Abstract
This paper is concerned with strong instability of solitary-wave solutions of a generalized Kadomtsev–Petviashvili equation in the three-dimensional case(ut+uxxx+upux)x=uyy+uzz(x, y, z)∈R3,t⩾0, with p⩾1. It is shown that the solution, when it is initially close to an unstable solitary wave, blows up in finite time for the power of nonlinearity p<4/3.
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