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Constraint of discrete Lax equations with some special types of Lax pairs

  • Nianhua Li*
  • , Biao Li
  • , Hongmin Li
  • , Yuqi Li
  • *此作品的通讯作者

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

In this paper, firstly we deduce the constraint of discrete Lax equations with some special forms of Lax pairs. Then to illustrate the validity of the method, we construct two discrete Lax equations and successfully obtain their constraints by the method. At the same time, infinitely many conservation laws of these two discrete equations are obtained by the discrete residue formula and the first two conserved quantities are given explicitly. It's interesting that we can obtain continuous AKNS hierarchy and KdV hierarchy through the two discrete Lax pairs. Furthermore, the 0-boundary problem for the first discrete equation is considered.

源语言英语
主期刊名2011 International Conference on Multimedia Technology, ICMT 2011
5779-5782
页数4
DOI
出版状态已出版 - 2011
已对外发布
活动2nd International Conference on Multimedia Technology, ICMT 2011 - Hangzhou, 中国
期限: 26 7月 201128 7月 2011

出版系列

姓名2011 International Conference on Multimedia Technology, ICMT 2011

会议

会议2nd International Conference on Multimedia Technology, ICMT 2011
国家/地区中国
Hangzhou
时期26/07/1128/07/11

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