Real analytic quasi-periodic solutions for the derivative nonlinear Schrödinger equations
Real analytic quasi-periodic solutions for the derivative nonlinear Schrödinger equations
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DOI：
10.1063/1.4754822
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发表时间：
2012-10
影响因子：
1.3
通讯作者：
J. Geng;Jian Wu
中科院分区：
文献类型：
--
作者：
J. Geng;Jian Wu
在本文中，我们证明一维导数非线性薛定谔方程承认具有两个丢番图频率的小振幅、实解析准周期解的惠特尼平滑族。该证明基于部分 Birkhoff 范式简化和抽象的无限维 Kolmogorov-Arnold-Moser (KAM) 定理。
In this paper, we show that one dimension derivative nonlinear Schrodinger equation admits a whitney smooth family of small amplitude, real analytic quasi-periodic solutions with two Diophantine frequencies. The proof is based on a partial Birkhoff normal form reduction and an abstract infinite dimensional Kolmogorov-Arnold-Moser (KAM) theorem.