A hierarchy of new Nonlinear differential-difference equations

被引：11

作者：

Geng, XG ^{[1
]}

Dai, HH

机构：

[1] Xi An Jiao Tong Univ, Res Ctr Sci, Xian, Peoples R China

[2] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

[3] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2006年 / 75卷 / 01期

关键词：

discrete spectral problem; nonlinear differential-difference equations; integrability;

D O I：

10.1143/JPSJ.75.013002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A hierarchy of new nonlinear differential-difference equations associated with a 3 x 3 matrix spectral problem is proposed. The generalized Hamiltonian structures for the hierarchy are derived with the aid of trace identity.

引用

页数：4

共 50 条

[1] New hierarchy of integrable nonlinear differential-difference equations
Geng, Xianguo
Guan, Liang
Xue, Bo
MODERN PHYSICS LETTERS B, 2015, 29 (31):
[2] A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system
Sun, Ye-Peng
Chen, Deng-Yuan
Xu, Xi-Xiang
PHYSICS LETTERS A, 2006, 359 (01) : 47 - 51
[3] NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS
ABLOWITZ, MJ
LADIK, JF
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (03) : 598 - 603
[4] A new hierarchy of integrable differential-difference equations and Darboux transformation
Wu, YT
Geng, XG
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (38): : L677 - L684
[5] Explicit solutions for a hierarchy of differential-difference equations
Gong, Dong
Geng, Xianguo
APPLIED MATHEMATICS AND COMPUTATION, 2014, 247 : 898 - 917
[6] A hierarchy of differential-difference equations and their integrable couplings
Luo Lin
Fan En-Gui
CHINESE PHYSICS LETTERS, 2007, 24 (06) : 1444 - 1447
[7] Quasi-periodic solutions to a hierarchy of integrable nonlinear differential-difference equations
Liu, Wei
Geng, Xianguo
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (08) : 8728 - 8745
[8] NOTE ON NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS
NARITA, K
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1975, 39 (06) : 1635 - 1635
[9] Three Results on the Nonlinear Differential Equations and Differential-Difference Equations
Rong, Jianxun
Xu, Junfeng
MATHEMATICS, 2019, 7 (06)
[10] New Integrable Multicomponent Nonlinear Partial Differential-Difference Equations
R. Sahadevan
S. Balakrishnan
Journal of Nonlinear Mathematical Physics, 2011, 18 : 501 - 518

← 1 2 3 4 5 →