论文信息 - Discrete integrable couplings associated with modified Korteweg--de Vries lattice and two hierarchies of discrete soliton equations

Discrete integrable couplings associated with modified Korteweg--de Vries lattice and two hierarchies of discrete soliton equations

A direct way to construct integrable couplings for discrete systems is presented by use of two semi-direct sum Lie algebras. As their applications, the discrete integrable couplings associated with modified Korteweg–de Vries (m-KdV) lattice and two hierarchies of discrete soliton equations are developed. It is also indicated that the study of integrable couplings using semi-direct sums of Lie algebras is an important step towards the complete classification of integrable couplings.

董焕河

[1] S. Huang,et al. APPARENT TRANSFORMATION FROM FELDERSTRUKTUR TO FIBRILLENSTRUKTUR WITH STRETCH AND THE CONVERSE CHANGE WITH SHORTENING IN CERTAIN MUSCLES OF THE CHICK. , 1963, Scientia Sinica.

[2] Gui‐zhang Tu,et al. The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems , 1989 .

[3] T Gui-zhang,et al. A trace identity and its applications to the theory of discrete integrable systems , 1990 .

[4] Zhang Yufeng. An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system , 2003 .

[5] 张玉峰. A generalized SHGI integrable hierarchy and its expanding integrable model , 2004 .

[6] Zhang Yu-feng,et al. A type of multi-component integrable hierarchy , 2004 .

[7] Bai Cheng-lin. Backlund transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik– Novikov–Veselov equation , 2004 .

[8] Yang Hong-xiang,et al. A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy , 2005 .

[9] Yufeng Zhang,et al. The quadratic-form identity for constructing the Hamiltonian structure of integrable systems , 2005 .

[10] Dong Huan-he,et al. The quadratic-form identity for constructing Hamiltonian structures of the Guo hierarchy , 2006 .