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A new four-dimensional chaotic system
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学] O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China, [2]Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Grant Nos. 10735030 and 90718041）, the Shanghai Leading Academic Discipline Project, China （Grant No. B412）, the Program for Changjiang Scholars, the Innovative Research Team in University, Ministry of Education of China （Grant No. IRT 0734） and the K.C.Wong Magna Fund in Ningbo University, China.Acknowledgments The authors are grateful to Professor Lou S Y, Dr. Wang D S, Li B and Li Y Q for their helpful discussions.
作者： 陈勇[1,2], 杨云青[1]
关键词： 变系数KDV方程, 结构, 非线性微分方程, LAX对, 代数表示, 李代数, 数学, 物理, prolongation structure, variable-coefficient KdV equation, Lax pairs
中文摘要：

The prolongation structure methodologies of Wahlquist-Estabrook [Wahlquist H D and Estabrook F B 1975 J.Math.Phys.16 1] for nonlinear differential equations are applied to a variable-coefficient KdV equation.Based on the obtained prolongation structure,a Lie algebra with five parameters is constructed.Under certain conditions,a Lie algebra representation and three kinds of Lax pairs for the variable-coefficient KdV equation are derived.

英文摘要：

The prolongation structure methodologies of Wahlquist-Estabrook [Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1] for nonlinear differential equations are applied to a variable-coefficient KdV equation. Based on the obtained prolongation structure, a Lie algebra with five parameters is constructed. Under certain conditions, a Lie algebra representation and three kinds of Lax pairs for the variable coefficient KdV equation are derived.

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期刊信息
  • 《中国物理B：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京 中关村 中国科学院物理研究所内
  • 邮编：100080
  • 邮箱：
  • 电话：010-82649026 82649519
  • 国际标准刊号：ISSN：1674-1056
  • 国内统一刊号：ISSN：11-5639/O4
  • 邮发代号:
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  • 被引量:406