弱湍流非线性 Schrödinger 方程玩具模型中的离散稀疏波
经典分析与常微分方程
2018-04-13 v4 偏微分方程分析
摘要
我们进一步探讨了由 Colliander、Keel、Staffilani、Takaoka 和 Tao 推导出的模型哈密顿动力系统类稀疏波解，该系统旨在研究环面上立方散焦非线性 Schrödinger 方程中的频率级联；此前第二位作者曾与 J. Colliander、T. Oh 和 G. Simpson 共同讨论过此类解。
引用
@article{arxiv.1307.1873,
title = {On discrete rarefaction waves in a nonlinear Schr\"odinger equation toy model for weak turbulence},
author = {Sebastian Herr and Jeremy L. Marzuola},
journal= {arXiv preprint arXiv:1307.1873},
year = {2018}
}
备注
24 pages, 5 figures. Contains a brief summary of results from the second author's work with J. Colliander, T. Oh and G. Simpson in arXiv:1209.0827. Improved exposition, fixed typos and added a Numerical Section relating to a connection to the Toda Lattice