共查询到17条相似文献,搜索用时 124 毫秒
1.
In this paper, we extend a (2+2)-dimensional continuous zero curvature equation to (2+2)-dimensional discrete zero curvature equation, then a new (2+2)-dimensional cubic Volterra lattice hierarchy is obtained. Fhrthermore, the integrable coupling systems of the (2+2)-dimensional cubic Volterra lattice hierarchy and the generalized Toda lattice soliton equations are presented by using a Lie algebraic system sl(4). 相似文献
2.
JIANG Qiao-Yun ZHOU Ru-Guang 《理论物理通讯》2006,46(5):773-778
A new (29-1)-dimensional lattice equation is presented based upon the first two members in the hierarchy of the combined Toda lattice and relativistic Toda lattice (TL-RTL) equations in (19991) dimensions. A Darboux transformation for the hierarchy of the combined TL-RTL equations is constructed. Solutions of the first two members in the hierarchy of the combined TL-RTL equations, as well as the new (29-1)-dimensional lattice equation are explicitly obtained by the Darboux transformation. 相似文献
3.
WANG Zheng-Yan YANG Xiao 《理论物理通讯》2007,48(4):667-670
An integrable (2+1)-dimensional Toda lattice with two discrete variables is investigated again, which is produced from a compatible condition of the Lax triad. The Darboux transformation for its spectral problems is found. As an application, explicit solutions of the (2+1)-dimensional Toda equation with two discrete variables are obtained. 相似文献
4.
In this paper,we focus on the construction of new(1+1)-dimensional discrete integrable systems according to a subalgebra of loop algebra A 1.By designing two new(1+1)-dimensional discrete spectral problems,two new discrete integrable systems are obtained,namely,a 2-field lattice hierarchy and a 3-field lattice hierarchy.When deriving the two new discrete integrable systems,we find the generalized relativistic Toda lattice hierarchy and the generalized modified Toda lattice hierarchy.Moreover,we also obtain the Hamiltonian structures of the two lattice hierarchies by means of the discrete trace identity. 相似文献
5.
The bilinear form of the (2+1)-dimensional non-isospectral AKNS system is derived. Its N-soliton solutions are obtained by using the Hirota method. As a reduction, a (2+1)-dimensional non-isospectral Schrodinger equation and its N-soliton solutions are constructed. 相似文献
6.
The multicomponent (2+1)-dimensional Glachette-Johnson (GJ) equation hierarchy and its super-integrable coupling system 下载免费PDF全文
This paper presents a set of multicomponent matrix Lie algebra, which is used to construct a new loop algebra A^-M. By using the Tu scheme, a Liouville integrable multicomponent equation hierarchy is generated, which possesses the Hamiltonian structure. As its reduction cases, the multicomponent (2+1)-dimensional Glachette-Johnson (G J) hierarchy is given. Finally, the super-integrable coupling system of multicomponent (2+1)-dimensional GJ hierarchy is established through enlarging the spectral problem. 相似文献
7.
WANG Yi-Hong WANG Sheng-Kui 《理论物理通讯》2008,50(8):299-302
In this paper, with the aid of symbolic computation, we present a uniform method for constructing soliton solutions and periodic solutions to (2+1)-dimensional Toda lattice equation. 相似文献
8.
Non-isospectral integrable couplings of Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy with self-consistent sources 下载免费PDF全文
A hierarchy of non-isospectral Ablowitz-Kaup-Newell-Segur (AKNS) equations with self-consistent sources is derived. As a general reduction case, a hierarchy of non-isospectral nonlinear SchrSdinger equations (NLSE) with selfconsistent sources is obtained. Moreover, a new non-isospectral integrable coupling of the AKNS soliton hierarchy with self-consistent sources is constructed by using the Kronecker product. 相似文献
9.
CAO Ce-Wen YANG Xiao 《理论物理通讯》2008,49(1):31-36
Special solution of the (2+1)-dimensional Sawada Kotera equation is decomposed into three (0+1)- dimensional Bargmann flows. They are straightened out on the Jacobi variety of the associated hyperelliptic curve. Explicit algebraic-geometric solution is obtained on the basis of a deeper understanding of the KdV hierarchy. 相似文献
10.
A new multi-component Lie algebra is constructed, and a type of new loop algebra is presented. A (2+1)-dimensional multi-component DLW integrable hierarchy is obtained by using a (2+1)-dimensional zero curvature equation. Furthermore, the loop algebra is expanded into a larger one and a type of integrable coupling system and its corresponding Hamiltonian structure are worked out. 相似文献
11.
A new (2+1)-dimensional lattice equation is presented based upon
the first two members in the hierarchy of the combined Toda lattice and relativistic Toda lattice (TL-RTL)
equations in (1+1) dimensions. A Darboux transformation for the hierarchy
of the combined TL-RTL equations is constructed. Solutions of the first two members in the hierarchy of the
combined TL-RTL equations, as well as the new (2+1)-dimensional lattice
equation are explicitly obtained by the Darboux transformation. 相似文献
12.
JIANG Qiao-Yun ZHOU Ru-Guang 《理论物理通讯》2006,46(11)
A new (2 1)-dimensional lattice equation is presented based upon the first two members in the hierarchy of the combined Toda lattice and relativistic Toda lattice (TL-RTL) equations in (1 1) dimensions. A Darboux transformation for the hierarchy of the combined TL-RTL equations is constructed. Solutions of the first two members in the hierarchy of the combined TL-RTL equations, as well as the new (2 1)-dimensional lattice equation are explicitly obtained by the Darboux transformation. 相似文献
13.
The generalized binary Darboux transformation for the (1+2)-dimensional non-isospectral KP-II equation is presented. Moreover, as a direct application, the new rogue wave solutions for the (1+2)-dimensional non-isospectral KP-II equation are constructed by the generalized binary Darboux transformation. 相似文献
14.
The bilinear form of the (2+1)-dimensional non-isospectral AKNS
system is derived. Its N-soliton solutions are obtained by using
the Hirota method. As a reduction, a (2+1)-dimensional non-isospectral
Schrödinger equation and its N-soliton solutions are constructed. 相似文献
15.
《Physics letters. A》1987,125(5):247-249
We present a Darboux transformation for the (2 + 1)-dimensional integrable Toda lattice and use it to construct the one-soliton solution. 相似文献
16.
In this paper, with the aid of symbolic computation, we present a
uniform method for constructing soliton solutions and periodic
solutions to (2+1)-dimensional Toda lattice equation. 相似文献
17.
Takashi Takebe 《Communications in Mathematical Physics》1990,129(2):281-318
Time evolutions of the Toda lattice hierarchies of Ueno and Takasaki are induced by Hamiltonians which are conservation laws for the original (one and two dimensional) Toda lattice obtained by Olive and Turok. Moreover these Hamiltonians for two dimensional Toda lattice hierarchy are also conserved quantities of the two component KP hierarchy in which that system is embedded. The one dimensional Toda lattice hierarchy is characterized by the bilinear relations, and a new version of the one dimensional Toda lattice hierarchy is constructed. Generalized Toda lattice hierarchies associated to all affine Lie algebras are presented. 相似文献