Super Camassa-Holm-type systems associated to the Kuper-Ramond-Schwarz superalgebra

被引：1

作者：

Ge, Yanyan ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 10期

关键词：

FROBENIUS-VIRASORO ALGEBRA; GEODESIC-FLOW; DIFFEOMORPHISM GROUP; EULER EQUATIONS; EXTENSIONS; LIE;

D O I：

10.1063/1.5110589

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe a class of super integrable systems with a local bi-super-Hamiltonian structure, including super Camassa-Holm-type systems, which can be realized as Euler-type systems on the dual of the Kuper-Ramond-Schwarz superalgebra.

引用

页数：7

共 24 条

[21] A NEW HIGH-ORDER CAMASSA-HOLM-TYPE EQUATION FOR SHALLOW WATER WAVES MOVING OVER A SHEAR FLOW
Wang, Yunbo
Kang, Jing
Fan, Ying
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (07): : 3199 - 3217
[22] On the integrability of some two-component Camassa–Holm-type systems
Hongmin Li
Xiaoyong Li
Pramana, 2019, 92
[23] Some qualitative properties of the solutions of a Camassa-Holm-type equation with high-order nonlinearities for shallow water waves moving over a shear flow
Wang, Haiquan
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2025, 76 (01):
[24] On an inverse problem associated with an integrable equation of Camassa-Holm type: explicit formulas on the real axis
Mohajer, Keivan
Szmigielski, Jacek
INVERSE PROBLEMS, 2012, 28 (01)

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