Melnikov Analysis for Singularly Perturbed DSII Equation
偏微分方程分析
2007-05-23 v1 数学物理
动力系统
math.MP
摘要
Rigorous Melnikov analysis is accomplished for Davey-Stewartson II equation under singular perturbation. Unstable fiber theorem and center-stable manifold theorem are established. The fact that the unperturbed homoclinic orbit, obtained via a Darboux transformation, is a classical solution, leads to the conclusion that only local well-posedness is necessary for a Melnikov measurement.
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引用
@article{arxiv.math/0206272,
title = {Melnikov Analysis for Singularly Perturbed DSII Equation},
author = {Yanguang Charles Li},
journal= {arXiv preprint arXiv:math/0206272},
year = {2007}
}