Recursion Relations for the Constrained Multi-component KP Hierarchy 被引量：1

Recursion Relations for the Constrained Multi-component KP Hierarchy

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摘要 In this paper, we define a new constrained multi-component KP （cMKP） hierarchy which contains the constrained KP （cKP） hierarchy as a special case. We derive the recursion operator of the constrained multi-component KP hierarchy. As a special example, we also give the recursion operator of the constrained two-component KP hierarchy. In this paper, we define a new constrained multi-component KP （cMKP） hierarchy which contains the constrained KP （cKP） hierarchy as a special case. We derive the recursion operator of the constrained multi-component KP hierarchy. As a special example, we also give the recursion operator of the constrained two-component KP hierarchy.

作者 Xu GAO Chuan Zhong LI Jing Song HE

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第11期1578-1586,共9页 数学学报（英文版）

基金 Supported by the National Natural Science Foundation of China(Grant Nos.11571192,11671219) K.C.Wong Magna Fund in Ningbo University

关键词 Recursion relation the KP hierarchy the constrained KP hierarchy the constrained multi-component KP hierarchy the constrained two-component KP hierarchy Recursion relation, the KP hierarchy, the constrained KP hierarchy, the constrained multi-component KP hierarchy, the constrained two-component KP hierarchy

分类号 O177 [理学—基础数学]

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参考文献1

1李传忠,田可雷,贺劲松,程艺.THE RECURSION OPERATOR FOR A CONSTRAINED CKP HIERARCHY[J].Acta Mathematica Scientia,2011,31(4):1295-1302. 被引量：2

二级参考文献27

1Fokas A S, Santini P M. The recursion operator of the Kadomtsev-Petviashvili equation and the squared eigenfunctions of the SchrSdinger operator. Stud Appl Math, 1986, 75:179-185.
2Fokas A S, Santini P M. Recursion operators and bi-Hamiltonian structures in multidimensions II. Commun Math Phys, 1988, 116:449-474.
3Matsukidaira J, Satsuma J, Strampp W. Conserved quantities and symmetries of KP hierarchy. J Math Phys, 1990, 31:1426-1434.
4Fchssteiner B, Fokas A S. Symplectic structures, their Backlund transformation and hereditary symme- tries. Phys D, 1981, 4:47-66.
5Olver P J. Applications of Lie Groups to Differential Equations. New York: Springer-Verlag, 1986.
6Santini P M, Fokas A S. Recursion operators and bi-Hamiltonian structures in multidimensions I. Commun Math Phys, 1988, 115:375-419.
7Strampp W, Oevel W. Recursion operators and Hamitonian structures in Sato theory. Lett Math Phys, 1990, 20:195-210.
8Stephen C A. Bi-Hamiltonian operators, integrable flows of curves using moving frames and geometric map equations. J Phys A: Math Gen, 2006, 39:2043-2072.
9Cheng Y. Constraints of the Kadomtsev-Petviashvili hierarchy. J Math Phys, 1992, 33:3774 3782.
10Loris I. Recursion operator for a constraint BKP system//Boiti M, Martina L, et al, eds. Proceedings of the Workshop on Nonlinearity, Integrability and All That Twenty years After NEEDS'79. Singapore: World Scientific, 1999:325-330.

共引文献1

1李茂华,程纪鹏,李传忠,贺劲松.BKP与CKP可积系列的递归算子[J].中国科学：数学,2013,43(5):499-514.

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1程纪鹏,贺劲松.Squared Eigenfunction Symmetries for the BTL and CTL Hierarchies[J].Communications in Theoretical Physics,2013,59(2):131-136. 被引量：1
2程纪鹏,贺劲松.THE INTEGRAL TYPE GAUGE TRANSFORMATION AND THE ADDITIONAL SYMMETRY FOR THE CONSTRAINED KP HIERARCHY[J].Acta Mathematica Scientia,2015,35(5):1111-1121. 被引量：2

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Acta Mathematica Sinica,English Series

2017年第11期

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