Singularly Perturbed Vector and Scalar Nonlinear Schroedinger Equations with Persistent Homoclinic Orbits
偏微分方程分析
2007-05-23 v1 数学物理
动力系统
math.MP
摘要
Singularly perturbed vector nonlinear Schroedinger equations (PVNLS) are investigated. Emphasis is placed upon the relation with their restriction: The singularly perturbed scalar nonlinear Schroedinger equation (PNLS) studied earlier by Li. It turns out that the persistent homoclinic orbit for the PNLS is the only one for the PVNLS, asymptotic to the same saddle.
引用
@article{arxiv.math/0205113,
title = {Singularly Perturbed Vector and Scalar Nonlinear Schroedinger Equations with Persistent Homoclinic Orbits},
author = {Yanguang Charles Li},
journal= {arXiv preprint arXiv:math/0205113},
year = {2007}
}