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Conservation Laws and Darboux Transformation for Sharma-Tasso-Olver Equation
  • ISSN号：0253-6102
  • 期刊名称：Communications in Theoretical Physics
  • 时间：0
  • 页码：317-322
  • 分类：O175.29[理学—数学;理学—基础数学] TQ172.613[化学工程—水泥工业;化学工程—硅酸盐工业]
  • 作者机构：[1]Department of Mathematics, Zhengzhou University, 100 Kexue Road, Zhengzhou 450001, China
  • 相关基金：Supported by National Natural Science Foundation of China under Grant Nos. 11171312 and 11126308, Science and Technology Researcn Key Projects of the Education Department of Henan Province under Grant No. 12Al10023
  • 相关项目：具有N-peakon的新可积模型及其解的精确表示
作者： Xue Bo|Wu Chen-Ming|
关键词： 方程推导, 达布变换, DARBOUX变换, 塔, 法律, 保护, 2×2矩阵, 层次结构, Sharma-Tasso-Olver equation, infinitely many conservation laws, Darboux transformation, ex-plicit solution
中文摘要：

A hierarchy of new nonlinear evolution equations associated with a 2 × 2 matrix spectral problem is derived.One of the nontrivial equations in this hierarchy is the famous Sharma-Tasso-Olver equation.Then infinitely many conservation laws of this equation are deduced.Darboux transformation for the Sharma-Tasso-Olver equation is constructed with the aid of a gauge transformation.

英文摘要：

A hierarchy of new nonlinear evolution equations associated with a 2 x 2 matrix spectral problem is derived. One of the nontrivial equations in this hierarchy is the famous Sharma-Tasso-Olver equation. Then infinitely many conservation laws of this equation are deduced. Darboux transformation for the Sharma-Tasso-Olver equation is constructed with the aid of a gauge transformation.

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期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
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  • 被引量:342