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KAM TORI FOR DEFOCUSING KDV-MKDV EQUATION

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【Author】 Wenyan CUI;Lufang MI;Li YIN;College of Science, Binzhou University;

【通讯作者】崔文艳;

【机构】 College of Science, Binzhou University；

【摘要】 In this paper, we consider small perturbations of the KdV-mKdV equation u_t =-u_xxx + 6 uu_x + 6 u² u_x 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.更多还原

【Abstract】 In this paper, we consider small perturbations of the KdV-mKdV equation u_t =-u_xxx + 6 uu_x + 6 u² u_x 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.更多还原

【关键词】 quasi-periodic solution； KdV-mKdV equation； KAM theory； normal form；
【Key words】 quasi-periodic solution； KdV-mKdV equation； KAM theory； normal form；

【基金】 Supported by NSFC(11601036,11401041);Science and Technology Foundation of Shandong Province(J16LI52)

【文献出处】 Acta Mathematica Scientia(English Series) ,数学物理学报(英文版) , 编辑部邮箱 ,2019年01期

【分类号】O175.29
【下载频次】21

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