数学季刊 ›› 2016, Vol. 31 ›› Issue (2): 201-210.doi: 10.13371/j.cnki.chin.q.j.m.2016.02.011

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超Geng-族的自相容源和守恒律

  

  1. 1. College of Mathematics and Statistics, Zhoukou Normal University2. College of Computer Science and Technology,Zhoukou Normal University3. Department of Mathematics,Shanghai University
  • 收稿日期:2013-09-18 出版日期:2016-06-30 发布日期:2020-11-09
  • 作者简介:WEI Han-yu(1982-), male, native of Zhoukou, Henan, a lecturer of Zhoukou Normal University, Ph.D., engages in solitons and integrable systems.
  • 基金资助:
    Supported by the National Natural Science Foundation of China(11271008,61072147,11547175)； Supported by the Science and Technology Department of Henan Province(152300410230)； Supported by the Key Scientific Research Projects of Henan Province(16A110026)； Supported by the Education Department of Henan Province(13A110101)；

Self-consistent Sources and Conservation Laws for Super-Geng Equation Hierarchy

  1. 1. College of Mathematics and Statistics, Zhoukou Normal University2. College of Computer Science and Technology,Zhoukou Normal University3. Department of Mathematics,Shanghai University
  • Received:2013-09-18 Online:2016-06-30 Published:2020-11-09
  • About author:WEI Han-yu(1982-), male, native of Zhoukou, Henan, a lecturer of Zhoukou Normal University, Ph.D., engages in solitons and integrable systems.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11271008,61072147,11547175)； Supported by the Science and Technology Department of Henan Province(152300410230)； Supported by the Key Scientific Research Projects of Henan Province(16A110026)； Supported by the Education Department of Henan Province(13A110101)；

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摘要： Based on the matrix Lie super algebra and supertrace identity, the integrable super-Geng hierarchy with self-consistent is established. Furthermore, we establish the infinitely many conservation laws for the integrable super-Geng hierarchy. The methods derived by us can be generalized to other nonlinear equation hierarchies. 

关键词: supertrace identity, self-consistent sources, conservation laws, super-Geng hierarchy

Abstract: Based on the matrix Lie super algebra and supertrace identity, the integrable super-Geng hierarchy with self-consistent is established. Furthermore, we establish the infinitely many conservation laws for the integrable super-Geng hierarchy. The methods derived by us can be generalized to other nonlinear equation hierarchies. 

Key words: supertrace identity, self-consistent sources, conservation laws, super-Geng hierarchy

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