期刊文献+

构造Lax表示的新算法

New Algorithm for Constructing Lax Representations
原文传递
导出
摘要 基于微分特征列法和微分带余除法,给出了利用拟微分算子构造非线性发展方程1+1维和2+1维Lax表示的新算法.新算法减少了运算步骤,简化了计算过程,是微分特征列法在可积系统领域一个新的应用. Based on differential characteristic chain method and differential division with remainder,a new algorithm for constructing 1+1-dim and 2+1-dim Lax representations of nonlinear evolution equations with pseudodifferential operators is presented.In new algorithm,the calculation steps are decreased,and the process is simplified.It is a new application of differential characteristic set method in integrable systems.
作者 贾屹峰 JIA Yi-feng(Teaching Department of Mathematics and Computer,China University of Labor Relations, Beijing 100048,China)
出处 《数学的实践与认识》 北大核心 2019年第9期211-228,共18页 Mathematics in Practice and Theory
基金 中国劳动关系学院2018年度校级科研项目(18YYJS017)
关键词 LAX表示 拟微分算子 广义Lax方程 Zakharov-Shabat方程 微分特征列 微分带余除法 Lax representation pseudodifferential operators generalized Lax equation Zakharov-Shabat equation differential characteristic chain differential division with remainder
  • 相关文献

参考文献2

二级参考文献6

  • 1张鸿庆.弹性力学方程组一般解的统一理论[J].大连工学院学报,1978,17(3):23-27.
  • 2.共享软件包 charsets 2.0.Dongming.Wang@lip6.fr.,.
  • 3陈玉福.[D].大连理工大学,1998,6.
  • 4Wu Wen-tsun. On the Foundation of Algebraic Differential Geometry. MM Research Preprints No. 3. 1989.
  • 5Reid G J. Algorithms for reducing a system of PDES to standard form. Determing its Toylor solution. Euro. J. Appl. Math., 1991, (2): 293-318.
  • 6George W. Bluman Sukeyuki Kumei. Symmetries and Differential Equations.

共引文献20

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部