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General Jacobian elliptic function expansion method and its applications

机译:通用雅可比椭圆函数展开方法及其应用

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摘要

An extended Jacobian elliptic function expansion method is presented and successfully applied to the nonlinear Schr(o)dinger (NLS) equation and Zakharov equation. We obtain some new solutions besides Fu et al's results. The results show that our method is more powerful to construct Jacobian elliptic function and can be applied to othernonlinear physics systems.
机译:提出了一种扩展的雅可比椭圆函数展开方法,并将其成功地应用到非线性Schr(o)dinger(NLS)方程和Zakharov方程。除了Fu等人的结果以外,我们还获得了一些新的解决方案。结果表明,我们的方法在构造雅可比椭圆函数方面更有效,可以应用于其他非线性物理系统。

著录项

  • 来源
    《中国物理:英文版》 |2004年第6期|798-804|共7页
  • 作者单位

    Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China;

    Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;

    Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China;

    Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China;

    Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China;

    Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China;

    Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;

  • 收录信息 中国科学引文数据库(CSCD);中国科技论文与引文数据库(CSTPCD);
  • 原文格式 PDF
  • 正文语种 chi
  • 中图分类 物理学;
  • 关键词

    nonlinear Schr(o)dinger equation; Zakharov equation; Jacobian elliptic function; solitary wave solution;

    机译:非线性Schr(o)dinger方程;Zakharov方程;Jacobian椭圆函数;孤波解;
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