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

WEI Han-yu, CUI Zhong-yuan, XIA Tie-cheng

doi:10.13371/j.cnki.chin.q.j.m.2016.02.011

Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 2: 201 - 210

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.02.011

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

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1. College of Mathematics and Statistics, Zhoukou Normal University2. College of Computer Science and Technology,Zhoukou Normal University3. Department of Mathematics,Shanghai University

WEI Han-yu(1982-), male, native of Zhoukou, Henan, a lecturer of Zhoukou Normal University, Ph.D., engages in solitons and integrable systems.

Received date: 2013-09-18

Online published: 2020-11-09

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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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

Cite this article

WEI Han-yu, CUI Zhong-yuan, XIA Tie-cheng . Self-consistent Sources and Conservation Laws for Super-Geng Equation Hierarchy[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(2) : 201 -210 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.02.011

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