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Similarity Reductions and Painlevé Property of Coupled KdV Equations
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O411.1[理学—理论物理;理学—物理]
  • 作者机构：[1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China, [2]Department of Physics, North China Coal Medical College, Tangshan 063000, China
  • 相关基金：The project supported by National Natural Science Foundations of China under Grant Nos. 10475055 and 40305009.Acknowledgments The authors would like to thank Drs. F. Huang, X.Y Tang, H.C. Hu, and B. Tong for their helpful discussions
作者： JIA Man[1,2]
关键词： 数学物理方法, 耦合KDV方程, 近似化简, Painlevé分级, coupled KdV equation, Painlevé classification, similarity reductions
中文摘要：

用 Ablowitz Ramani Segur 算法，当模型的类似减小被使用 Clarkson 和 Kruskal 的直接方法获得时，联合 KdV 系统是在 Painlev é integrable 感觉下面的 reclassified。包括有为二层液体的不同分散关系的一个模型的 Painlev é integrable 模型的一些新类型被发现。

英文摘要：

Using Ablowitz-Ramani Segur algorithm, the coupled KdV systems are reclassified under the Painlevé integrable sense while the similarity reductions of the model are obtained by using the Clarkson and Kruskal＇s direct method. Some new types of Painlevé integrable models including a model with different dispersion relations for two layer fluids are found.

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期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
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  • 被引量:342