GENERALIZED FRACTIONAL TRACE VARIATIONAL IDENTITY AND A NEW FRACTIONAL INTEGRABLE COUPLINGS#br#
OF SOLITON HIERARCHY

doi:10.1016/S0252-9602(13)60125-3

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 53-64.doi: 10.1016/S0252-9602(13)60125-3

GENERALIZED FRACTIONAL TRACE VARIATIONAL IDENTITY AND A NEW FRACTIONAL INTEGRABLE COUPLINGS#br# OF SOLITON HIERARCHY

魏含玉^1,2|夏铁成¹

1. Department of Mathematics, Shanghai University, Shanghai 200444, China；
2. Department of Mathematics and Information Science, Zhoukou Normal University, Zhoukou 466001, China

收稿日期:2012-12-03 出版日期:2014-01-20 发布日期:2014-01-20
基金资助:
The research was supported by the National Natural Science Foundation of China (11271008, 61072147, 11071159), the First-Class Discipline of Universities in Shanghai and the Shanghai University Leading Academic Discipline Project (A13-0101-12-004).

GENERALIZED FRACTIONAL TRACE VARIATIONAL IDENTITY AND A NEW FRACTIONAL INTEGRABLE COUPLINGS#br# OF SOLITON HIERARCHY

WEI Han-Yu^1,2, XIA Tie-Cheng¹

1. Department of Mathematics, Shanghai University, Shanghai 200444, China；
2. Department of Mathematics and Information Science, Zhoukou Normal University, Zhoukou 466001, China

Received:2012-12-03 Online:2014-01-20 Published:2014-01-20
Supported by:
The research was supported by the National Natural Science Foundation of China (11271008, 61072147, 11071159), the First-Class Discipline of Universities in Shanghai and the Shanghai University Leading Academic Discipline Project (A13-0101-12-004).

摘要/Abstract

摘要：

Based on fractional isospectral problems and general bilinear forms, the gener-alized fractional trace identity is presented. Then, a new explicit Lie algebra is introduced for which the new fractional integrable couplings of a fractional soliton hierarchy are derived from a fractional zero-curvature equation. Finally, we obtain the fractional Hamiltonian
structures of the fractional integrable couplings of the soliton hierarchy.

关键词: generalized fractional trace variational identity, fractional integrable cou-plings, soliton hierarchy, Hamiltonian structure

Abstract:

Key words: generalized fractional trace variational identity, fractional integrable cou-plings, soliton hierarchy, Hamiltonian structure

中图分类号:

35Q51

魏含玉, 夏铁成. GENERALIZED FRACTIONAL TRACE VARIATIONAL IDENTITY AND A NEW FRACTIONAL INTEGRABLE COUPLINGS#br# OF SOLITON HIERARCHY[J]. 数学物理学报(英文版), 2014, 34(1): 53-64.

WEI Han-Yu, XIA Tie-Cheng. GENERALIZED FRACTIONAL TRACE VARIATIONAL IDENTITY AND A NEW FRACTIONAL INTEGRABLE COUPLINGS#br# OF SOLITON HIERARCHY[J]. Acta mathematica scientia,Series B, 2014, 34(1): 53-64.

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GENERALIZED FRACTIONAL TRACE VARIATIONAL IDENTITY AND A NEW FRACTIONAL INTEGRABLE COUPLINGS#br# OF SOLITON HIERARCHY

GENERALIZED FRACTIONAL TRACE VARIATIONAL IDENTITY AND A NEW FRACTIONAL INTEGRABLE COUPLINGS#br# OF SOLITON HIERARCHY

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