Revisiting asymptotic stability of solitons of nonlinear Schrodinger equations via refined profile method
Revisiting asymptotic stability of solitons of nonlinear Schrodinger equations via refined profile method
复制标题
通过精化轮廓法重新审视非线性薛定谔方程孤子的渐近稳定性
DOI：
10.1007/s00028-022-00806-6
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发表时间：
2022
影响因子：
1.4
通讯作者：
Maeda Masaya
中科院分区：
文献类型：
--
作者：
Cuccagna Scipio;Maeda Masaya
本文给出了带内模的非线性薛定谔方程孤子渐近稳定性的另一种证明。新颖的想法是使用“细化配置文件”的作者开发的小束缚态的分析。通过这种新的策略，我们能够避免正规形式。此外，我们可以跟踪费米黄金法则假设中出现的函数。
In this paper, we give an alternative proof for the asymptotic stability of solitons for nonlinear Schrödinger equations with internal modes. The novel idea is to use “refined profiles” developed by the authors for the analysis of small bound states. By this new strategy, we able to avoid the normal forms. Further, we can track the functions appearing in the Fermi Golden Rule hypothesis.