|
|||||
|
|
| A HIERARCHY OF INTEGRABLE LATTICE SOLITON EQUATIONS AND ITS INTEGRABLE SYMPLECTIC MAP | |
| 作者姓名： | 朱思铭 伍泳棠 施齐焉 |
| 作者单位： | Zhu Siming (Dept. of Math.，Zhonghan University Guangzhou 510275) Wu Yongtang (Dept. of Computing Studies，Hongkong Baptist University HongKong) Shi Qiyan (Dept. of Math.，Zhongshan University Guangzhou 510275) |
| 摘 要： | 1TheLatticeSolitonHierarchyDenoteEf(n)-f(n 1),nEZ,andwritef(n)=f,f(n k)=E*f.Considerthediscrete3x3matrixspectralproblem:whereajb,carethreepotentials,Aisaconstantspectralparameter.Theadjointrepresentationequationof(1)iswhereeachentryVj=Kj(B(A),C(A),D(A))0fthe3x3matrixVisaLaurentexpansionofA:Then(2)isequivaentt0'therecursi0nrelations:\,Theaboverecursionequationscanbesolvedsuccessivelyt0deducethefollowingresults:Wedefine{Dj}bythefollowingrelation:From(3)we0btainKGj-1=JGj,Gj=(Aj,Bj,Cj… |
A HIERARCHY OF INTEGRABLE LATTICE SOLITON EQUMIONS AND ITS INTEGRABLE SYMPLECTIC MAP |
|
| Zhu Siming.A HIERARCHY OF INTEGRABLE LATTICE SOLITON EQUATIONS AND ITS INTEGRABLE SYMPLECTIC MAP[J].微分方程年刊(英文版),2000(3). | |
| Authors: | Zhu Siming |
| Abstract: | |
| Keywords: | lattice soliton equation integrable system Lax pair symplectic map |
| 本文献已被 CNKI 等数据库收录！ | |