We consider a realization of the W1＋∞ algebra and investigate its nn-algebra, which is different from the nn-algebra of Zhang et al. [2016 arXiv：1606.07570v2] It is found that the generators Wm^s with any fixed sup...We consider a realization of the W1＋∞ algebra and investigate its nn-algebra, which is different from the nn-algebra of Zhang et al. [2016 arXiv：1606.07570v2] It is found that the generators Wm^s with any fixed superindex s≥1 yield the null sub-2s-algebra. The nontrivial sub-44-algebra and Virasoro–Witt 3-algebra are presented. Moreover, we extend the generators to the multi-variables case. These generators also yield the W1＋∞ algebra and null nn-algebras.展开更多
In this paper, a （2＋1）-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed ...In this paper, a （2＋1）-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus the complete integrability of this system is confirmed.展开更多
This paper investigates the high order differential neighbourhoods of holomorphic mappings from S-1 x S-1 to a vector space and gives a new extension of the high-order Virasoro algebra.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11375119 and 11475116
文摘We consider a realization of the W1＋∞ algebra and investigate its nn-algebra, which is different from the nn-algebra of Zhang et al. [2016 arXiv：1606.07570v2] It is found that the generators Wm^s with any fixed superindex s≥1 yield the null sub-2s-algebra. The nontrivial sub-44-algebra and Virasoro–Witt 3-algebra are presented. Moreover, we extend the generators to the multi-variables case. These generators also yield the W1＋∞ algebra and null nn-algebras.
基金Supported by the National Natural Science Foundation of China under Grant Nos.10735030, 10675065, and 90503006, and PCSIRT (IRT0734)the National Basic Research Programme of China under Grant No.2007CB814800
文摘In this paper, a （2＋1）-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus the complete integrability of this system is confirmed.
基金This work is supported in part by the Natural ScienceFoundation of Hainan
文摘This paper investigates the high order differential neighbourhoods of holomorphic mappings from S-1 x S-1 to a vector space and gives a new extension of the high-order Virasoro algebra.
