篮球外围竞彩网站 :CIMSՓĵ

򾺲 www.fasfz.com  

Schrodingerͷ弰HamiltonY
ע⣺ՓڡJOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL200134513-519l
ʹՈעՓij̎

(SCI䛱)

F
͵W    200433

 ժҪһV}ɴˌһSchrodingerͷCԓLiouvillex¿ɷeжHamiltonYlFķKNCLLGISTO ̵ļsԓ؄eõKNCLLGILaxHamiltonYĽyһ@ʽʽ
PI~
HamiltonYLiouvilleɷe

Integrable systems of derivative nonlinear Schr odinger type and their multi-Hamiltonian structure

Engui Fan
JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL. 34(2001), 513-519

Institute of Mathematics, Fudan University, Shanghai 200433, PR China

Received 1 September 2000, in final form 6 December 2000

Abstract:A spectral problem and the associated hierarchy of Schr odinger type equations are proposed. It is shown that the hierarchy is integrable in Liouvilles sense and possesses multi-Hamiltonian structure. It is found that several kinds of important equation such as the KaupCNewell (KN) equation, the ChenCLeeCLiu (CLL) equation, the GerdjikovCIvanov (GI) equation, the modified KortewegCde Vries equation and the SharmaCTassoCOlever equation are members in the hierarchy as its special reductions. Moreover, KN, CLL and GI equations are described by using a unified generalized derivative Schr odinger equation involving a parameter, and their Hamiltonian structure and Lax pairs are also given by unified and explicit formulae.

1g[ȫҪʹܛAbode Acrobat(ܛ^󲢳Ҋ,վṩd)

2dՓȫՈc(64KB)


վ䛵ıߵՓģ

1The zero curvature representation for hierarchies of nonlinear evolution equations

2Extended tanh-function method and its applications to nonlinear equations

3Soliton solutions for a generalized HirotaCSatsuma coupled KdV equation and a coupled MKdV equation

4A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations

5Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method

PՓՈcվ<<<վȫ>>>

gӭӑՓlՓļоIĿ
(Ոڰlԕrژ}ʹcuՓĵ}Ŀо@ӷҞg[)

| CIMSՓ | й | ̓M | | Փ | Ŀ_l | WgYԴ | վȫ | MՓľWվȫ |

line.gif (4535 ֹ)

˸õĞҷgӭӱվͶƱ{

򾺲 Ոc

վ򾺲 gӭL

ע⣺վδSDd

All rights reserved, all contents copyright 2000-2019
վ20003¿WL