论文标题

孤子的不稳定性,用于聚焦,质量关键的广义KDV方程

Instability of the soliton for the focusing, mass-critical generalized KdV equation

论文作者

Dodson, Benjamin, Gavrus, Cristian

论文摘要

在本文中,我们证明了孤子对聚焦,大规模关键的广义KDV方程的不稳定。我们证明,对于任何初始数据,质量小于索利顿的质量并在$ l^{2} $ norm中靠近索利顿的任何初始数据的解决方案最终都必须远离Soliton。

In this paper we prove instability of the soliton for the focusing, mass-critical generalized KdV equation. We prove that the solution to the generalized KdV equation for any initial data with mass smaller than the mass of the soliton and close to the soliton in $L^{2}$ norm must eventually move away from the soliton.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源