KAM TORI FOR DEFOCUSING KDV-MKDV EQUATION

被引：0
作者：
崔文艳
弭鲁芳
尹枥
机构：
[1] CollegeofScience,BinzhouUniversity
来源：
Acta Mathematica Scientia(English Series) | 2019年 / 39卷 / 01期
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中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
摘要：
In this paper, we consider small perturbations of the KdV-mKdV equation u_t =-uxxx + 6 uux + 6 u2 ux 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.
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页码：243 / 258
页数：16
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