Strong instability of solitary-wave solutions to a Kadomtsev-Petviashvili equation in three dimensions
Strong instability of solitary-wave solutions to a Kadomtsev-Petviashvili equation in three dimensions
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DOI：
10.1006/jdeq.2001.4054
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发表时间：
2002-03
影响因子：
2.4
通讯作者：
Yue Liu
中科院分区：
文献类型：
--
作者：
Yue Liu
本文讨论了一类广义Kadomtsev-Petviashvili方程在三维情形(ut+uxxx+up ux)x=uyy+uzz(x，y，z)∈R3，t⩾0，其中p⩾为1的孤立波解的强不稳定性.证明了当其初始逼近不稳定孤立波时，其解将在有限时间内爆破
Abstract This paper is concerned with strong instability of solitary-wave solutions of a generalized Kadomtsev–Petviashvili equation in the three-dimensional case (u t +u xxx +u p u x ) x =u yy +u zz (x, y, z)∈R 3 , 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