| Camassa-Holm和Degasperis-Procesi方程的延拓结构(英文) |
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| 引用本文： | 白永强,裴明,高文娟.Camassa-Holm和Degasperis-Procesi方程的延拓结构(英文)[J].河南大学学报(自然科学版),2011,41(6). |
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| 作者姓名： | 白永强 裴明 高文娟 |
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| 作者单位： | 1. 河南大学 数学与信息科学学院,河南开封475004;河南大学 现代数学研究所,河南开封475004
2. 河南大学 数学与信息科学学院,河南开封,475004 |
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| 基金项目： | supported by National Natural Science Foundation of China(10801045); Program for Science&Technology Innovation Talents in Universities of Henan Province(2010HASTIT033); Foundation of Henan Technology Committee(082300410020) |
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| 摘 要： | 延拓结构理论是得到非线性偏微分方程的拉克斯对、贝克隆变换等的一种有效方法.本文考虑了一族带参数方程的延拓结构,得到了伴随与Camassa-Holm和Degasperis-Procesi方程的逆散射方程.由此,检验了这两个方程的可积性.
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| 关 键 词： | 延拓结构 Camassa-Holm Degasperis-Procesi 拉克斯对 |
Prolongation Structures of the Camassa-Holm and Degasperis-Procesi Equations |
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| BAI Yong-qiang,PEI Ming,GAO Wen-juana.Prolongation Structures of the Camassa-Holm and Degasperis-Procesi Equations[J].Journal of Henan University(Natural Science),2011,41(6). |
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| Authors: | BAI Yong-qiang PEI Ming GAO Wen-juana |
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| Institution: | BAI Yong-qiang a,b,PEI Minga,GAO Wen-juana(Henan University a.School of Mathematics and Information Sciences,b.Institute of Contemporary Mathematics,Kaifeng 475004,China) |
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| Abstract: | The prolongation structure theory is an effective method to obtain the Lax pair,backlund than formation of nonlinear partial differential equations.This paper considered the prolongation structure of a system of partial differential equations with a parameter.The inverse scattering equations associated with the Camassa-Holm and the Degasperis-Procesi equations are also obtained.Therefore,their integrability has been proved. |
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| Keywords: | prolongation structure Camassa-Holm Degasperis-Procesi Lax pair |
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