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Coupled Nonlinear Schrodinger Equation: Symmetries and Exact Solutions
  • ISSN号：0253-6102
  • 期刊名称：COMMUNICATIONS IN THEORETICAL PHYSICS
  • 时间：0
  • 页码：27-34
  • 语言：中文
  • 分类：O175.29[理学—数学;理学—基础数学] TN929.11[电子电信—通信与信息系统;电子电信—信息与通信工程]
  • 作者机构：[1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China, [2]Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402, China, [3]Department of Physics, Ningbo University, Ningbo 315211, China
  • 相关基金：The project supported by the Scientific Research Foundation for the Doctors of University of Electronic Science and Technology of China Zhongshan Institute and the National Natural Science Foundation of China under Grant Nos. 10735030 and 90503006 We are indebted to Drs. Z.L. Li and J.H. Li for their helpful discussions.
  • 相关项目：灾害性天气和气候研究的数学物理问题
作者： Liu Ping|Lou Sen-Yue|
关键词： 耦合非线性薛定谔方程, 对称性, 精确解, NLS方程, 大气重力波, 伽利略变换, 常微分方程, 三角函数解, coupled nonlinear SchrSdinger equation, classical Lie group approach, symmetry, exact solution
中文摘要：

非线性的 Schrödinger (CNLS ) 方程为大气的严肃波浪从管理系统导出的 a coupled 的对称，对称减小，和准确解决方案在这篇论文借助于古典谎言组途径被研究。计算证明 CNLS 方程在一些 Galilee 的转变下面是不变的，放大转变，阶段移动，和时空翻译。一些平常的微分方程从 CNLS 方程被导出。包括为 CNLS 方程的信封 cnoidal 波浪，独居的波浪和三角法的功能答案的几个准确答案被使用对称也获得。

英文摘要：

The symmetries, symmetry reductions, and exact solutions of a coupled nonlinear Schrodinger （CNLS） equation derived from the governing system for atmospheric gravity waves are researched by means of classical Lie group approach in this paper. Calculation shows the CNLS equation is invariant under some Galilean transformations, scaling transformations, phase shifts, and space-time translations. Some ordinary differential equations are derived from the CNLS equation. Several exact solutions including envelope cnoidal waves, solitary waves and trigonometric function solutions for the CNLS equation are also obtained by making use of symmetries.

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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