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An Integrable Discrete Generalized Nonlinear Schr¨odinger Equation and Its Reductions
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O175[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
  • 相关基金：Supported by the National Natural Science Foundation of China under Grant Nos.11375090,11275072;Innovative Research Team Program of the National Natural Science Foundation of China under Grant No.61021004;National High Technology Research and Development Program under No.2011AA010101;Shanghai Leading Academic Discipline Project under No.B412
作者： 李红敏[1], 李玉奇[1], 陈勇[1]
关键词： DISCRETE, equation, RECURSION, operator, SYMMETRY, conservation, QUANTITIES
中文摘要：

An integrable discrete system obtained by the algebraization of the difference operator is studied. The system is named discrete generalized nonlinear Schr¨odinger(GNLS) equation, which can be reduced to classical discrete nonlinear Schr¨odinger(NLS) equation. Furthermore, all of the linear reductions for the discrete GNLS equation are given through the theory of circulant matrices and the discrete NLS equation is obtained by one of the reductions. At the same time, the recursion operator and symmetries of continuous GNLS equation are successfully recovered by its corresponding discrete ones.

英文摘要：

An integrable discrete system obtained by the algebraization of the difference operator is studied. The system is named discrete generalized nonlinear Schr¨odinger(GNLS) equation, which can be reduced to classical discrete nonlinear Schr¨odinger(NLS) equation. Furthermore, all of the linear reductions for the discrete GNLS equation are given through the theory of circulant matrices and the discrete NLS equation is obtained by one of the reductions. At the same time, the recursion operator and symmetries of continuous GNLS equation are successfully recovered by its corresponding discrete ones.

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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