THE RECURSION OPERATOR FOR A CONSTRAINED CKP HIERARCHY

被引：0

作者：

Li Chuanzhong ^{[1
]}

Tian Kelei ^{[1
]}

He Jingsong ^{[1
,2
]}

Cheng Yi ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

[2] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 04期

关键词：

recursion operator; constrained CKP hierarchy; mKdV hierarchy; KADOMTSEV-PETVIASHVILI EQUATION; BI-HAMILTONIAN STRUCTURES; EVOLUTION-EQUATIONS; KP HIERARCHIES; TRANSFORMATION; SYMMETRIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper gives a recursion operator for a 1-constrained CKP hierarchy, and by the recursion operator it proves that the 1-constrained CKP hierarchy can be reduced to the mKdV hierarchy under condition q = r.

引用

下载

页码：1295 / 1302

页数：8

共 50 条

[41] Tau function of the CKP hierarchy and nonlinearizable virasoro symmetries
Chang, Liang
Wu, Chao-Zhong
NONLINEARITY, 2013, 26 (09) : 2577 - 2596
[42] Repeated application of the recursion operator for a new hierarchy of negative-order integrable KdV equations
Wazwaz, Abdul-Majid
WAVES IN RANDOM AND COMPLEX MEDIA, 2020, 30 (02) : 300 - 307
[43] LIMITING RECURSION AND ARITHMETIC HIERARCHY
CRISCUOLO, G
MINICOZZI, E
TRAUTTEUR, G
REVUE FRANCAISE D AUTOMATIQUE INFORMATIQUE RECHERCHE OPERATIONNELLE, 1975, 9 (NR3): : 5 - 12
[44] CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
Van de Leur, Johan W.
Orlov, Alexander Yu
Shiota, Takahiro
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, 8
[45] A combined integrable hierarchy with four potentials and its recursion operator and bi-Hamiltonian structureA combined integrable hierarchy with four potentials and its recursion operatorW-X Ma
Wen-Xiu Ma
Indian Journal of Physics, 2025, 99 (3) : 1063 - 1069
[46] A COMBINED KAUP-NEWELL TYPE INTEGRABLE HAMILTONIAN HIERARCHY WITH FOUR POTENTIALS AND A HEREDITARY RECURSION OPERATOR
Ma, Wen-xiu
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
[47] A strange recursion operator demystified
Sergyeyev, A
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (15): : L257 - L262
[48] JUMP OPERATOR IN SET RECURSION
NORMANN, D
ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1979, 25 (03): : 251 - 264
[49] Tau-Function of the Multi-component CKP Hierarchy
A. Zabrodin
Mathematical Physics, Analysis and Geometry, 2024, 27
[50] Recursion Operators for Dispersionless KP Hierarchy
程秋盛
贺劲松
Communications in Theoretical Physics, 2012, 58 (11) : 631 - 638

← 1 2 3 4 5 →