论文摘要
In this paper, we consider small perturbations of the KdV-mKdV equation ut=-uxxx + 6 uux + 6 u2ux on the real line with periodic boundary conditions. It is shown that the above equation admits a Cantor family of small amplitude quasi-periodic solutions under such perturbations. The proof is based on an abstract infinite dimensional KAM theorem.
论文目录
文章来源
类型: 期刊论文
作者: 崔文艳,弭鲁芳,尹枥
来源: Acta Mathematica Scientia(English Series) 2019年01期
年度: 2019
分类: 基础科学
专业: 数学
单位: College of Science, Binzhou University
基金: Supported by NSFC(11601036,11401041),Science and Technology Foundation of Shandong Province(J16LI52)
分类号: O175.29
页码: 243-258
总页数: 16
文件大小: 367K
下载量: 14
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