崔文艳：KAM TORI FOR DEFOCUSING KDV-MKDV EQUATION论文
本文主要研究内容
作者崔文艳,弭鲁芳,尹枥（2019）在《KAM TORI FOR DEFOCUSING KDV-MKDV EQUATION》一文中研究指出：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.
Abstract
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.
论文参考文献
[1].On the number of limit cycles in double homoclinic bifurcations[J]. 韩茂安,陈健. Science in China,Ser.A.2000(09)[2].A KIND OF DISTORTION OF MEAN VELOCITY PBOFILE IN PIPE POISEUILLE FLOW AND ITS STABILITY BEHAVIOUR[J]. 周哲玮. Applied Mathematics and Mechanics(English Edition).1988(01)[3].MESOSCALE INSTABILITY OF A BAROCLINIC BASIC FLOW——PART I:SYMMETRIC INSTABILITY[J]. 张可苏. Acta Meteorologica Sinica.1988(02)[4].UN THORME DE STABILITDES PERTURBATIONS OBLIQUES DANS LE PROBLME DE MINIMISATION CONVEXE[J]. 陈嵩强. Acta Mathematica Scientia.1984(02)[5].Adjoint-free calculation method for conditional nonlinear optimal perturbations[J]. CUI Ming. Science China(Mathematics).2015(07)[6].Stability of multiobjective programming under two perturbations in Banach space[J]. 胡毓达,孟志青. Progress in Natural Science.1997(01)[7].Bifurcation of limit cycles near equivariant compound cycles[J]. Mao-an HAN, Tong-hua ZHANG & Hong ZANG Department of Mathematics, Shanghai Normal University, Shanghai 200234, China. Science in China(Series A:Mathematics).2007(04)[8].Non-periodic perturbations and transversal heteroclinic orbits[J]. 朱德明. Chinese Science Bulletin.1995(09)[9].Multiplicative perturbations of C-regularized resolvent families[J]. 于欣,陈亮. Journal of Zhejiang University Science.2004(05)[10].Multidimensional stability of traveling fronts in monostable reaction-difusion equations with complex perturbations[J]. ZENG HuiHui. Science China(Mathematics).2014(02)
论文详细介绍
论文作者分别是来自Acta Mathematica Scientia(English Series)的崔文艳,弭鲁芳,尹枥，发表于刊物Acta Mathematica Scientia(English Series)2019年01期论文，是一篇关于,Acta Mathematica Scientia(English Series)2019年01期论文的文章。本文可供学术参考使用，各位学者可以免费参考阅读下载，文章观点不代表本站观点，资料来自Acta Mathematica Scientia(English Series)2019年01期论文网站，若本站收录的文献无意侵犯了您的著作版权，请联系我们删除。
本文来源: https://www.lw00.cn/article/bc1fbb80cbe0d7eda261543d.html