数学物理学报 ›› 2021, Vol. 41 ›› Issue (6): 1830-1837.

• 论文 • 上一篇    下一篇

一类非线性动力系统的孤立子波解

欧阳成1,莫嘉琪2,*()   

  1. 1 湖州师范学院理学院 浙江湖州 313000
    2 安徽师范大学数学与统计学院 安徽芜湖 241003
  • 收稿日期:2020-07-22 出版日期:2021-12-26 发布日期:2021-12-02
  • 通讯作者: 莫嘉琪 E-mail:mojiaqi@mail.ahnu.edu.cn
  • 基金资助:
    国家自然科学基金(11771005);浙江省自然科学基金(LY13A010005);浙江省自然科学基金(KJ2018A0964);浙江省自然科学基金(KJ2017A901)

The Solitary Wave Solution to a Class of Nonlinear Dynamic System

Cheng Ouyang1,Jiaqi Mo2,*()   

  1. 1 Faculty of Science, Huzhou University, Zhejiang Huzhou 313000
    2 School of Mathematics and Statistic, Anhui Normal University, Anhui Wuhu 241003
  • Received:2020-07-22 Online:2021-12-26 Published:2021-12-02
  • Contact: Jiaqi Mo E-mail:mojiaqi@mail.ahnu.edu.cn
  • Supported by:
    the NSFC(11771005);the NSF of Zhejiang Province(LY13A010005);the NSF of Zhejiang Province(KJ2018A0964);the NSF of Zhejiang Province(KJ2017A901)

摘要:

该文用泛函广义变分迭代方法,研究了一类非线性扰动动力系统.首先引入一个相应典型系统的孤立子波解.然后构造一组泛函广义变分式,求出Lagrange乘子,最后构造一组变分迭代关系式,由此便得到了原非线性扰动动力系统的渐近行波解.

关键词: 动力系统, 非线性, 孤立子波

Abstract:

Using the functional generalized variational iteration method, a class of nonlinear disturbed dynamic system was considered. First introduce solitary solution to a corresponding typical system. And then a set of functional generalized variation constructed, and Lagrange multiplier functions were solved. Finally, the generalized variational iteration was received. Thus, the asymptotic travelling wave solution to the original nonlinear disturbed generalized dynamic system was obtained

Key words: Dynamic system, Nonlinear, Solitary wave

中图分类号: 

  • O175.29