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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… 相似文献
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IntroductionIn 1 975,B .Mandelbrotadvancedtheconception“fractal”andestablishedhisfractalgeometrytheory .Nowadays,thefractalgeometryisregardedasoneofthebesttoolstodescribethenonlinearproblems.Italsoimprovedthedevelopmentofmanyrelatedfields,suchasdynamicssyst… 相似文献
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In this paper after having obtained the Lax pair of a hierarchy of soliton equations,we discuss the parametric representation for finite-band solutions of the stationary solitonequation, and prove it can be represented as a Hamiltonian system which is integrable inLiouville sense. The nonconfocal involutive integral representations {Fm} are obtained also.In the condition of finite-band solutions of the soliton equation, the time and space can bedevided inio two Hamiltonian systems, so the fi… 相似文献
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Three new binudear cobalt (II) complexes with extended te-tracarboxylato- bridge have been synthesized and characterized, namely [Co2 (PMTA) (bpy)4] (1), [Co2(PMTA)-(phen)4] (2) and [Co2(PMTA) (NO2phen)4] (3), where PMTA represents the tetraanion of pyroniellitic acid, and bpy, phen, NO2-phen denote 2,2'-bipyridine, 1,10-phenan-throline; 5-nirto-1, 10-plienanthroline, respectively. Based on elemental analyses, molar conductivity measurements, IR and electronic spectra studies, it is proposed that these complexes have PMTA-bridged structures and consist of two cobalt (II) ions, each in a distorted octahedral environment. These complexes were further characterized by variable temperature magnetic susceptibility measurements (4-300 K) and the observed data were successfully simulated by the equation based on the spin Hamiltonian operator, giving the exchange integral J = - 1.02 cm-1 for 1, J = -1.21 cm-1 for 2 and J = - 1.18 cm-1 for 3, respectively. These results revealed the operation of antiferromagneti 相似文献
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中性束注入是等离子体加热和电流驱动的最有效方法之一。中性束注入的三个基本过程为:离子束的产生,离子束的中性化和中性束的传输,其中,离子束的中性化是关键环节之一。对于EAST-NBI气体中性化室而言,中性化室内气体靶厚度会直接影响离子束的中性化效率,而且还会进一步影响到中性束的传输效率。基于多普勒频移效应,提出了一种新的诊断气体靶厚度的方法,并且已经被应用于EASTNBI测试平台上。该方法主要是基于中性束的束成分随气体靶厚度的演化过程,利用中性束发射Dα光谱线强度完成计算。因此,它被应用于中国科学院等离子体物理研究所EASTNBI装置上。在中性化室出口处的观测窗口上进行测量,在束能量为40~65keV时,气体靶厚度值为(0.16~0.22)×10~(16) cm~(-2),随着引出束流的变化,气体靶厚度随之改变。根据质量守恒定律,对中性化室内的气体靶厚度进行一个粗略的估算,估算的结果与测量的结果基本保持一致,从而证明了该诊断方法的合理性。综上,实验结果表明,该种基于多普勒频移效应的光谱诊断法可以被用于测量中性化室内的气体靶厚度。 相似文献
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在经典复合泊松模型中,保险公司将资金投入一个风险投资过程和一个无风险投资过程.当索赔的分布确定后,运用随机控制中的HJB方程最小化保险公司的破产概率,在已知投资规模或投资组合的情况下求解二者中的另一项,进而得到最优投资策略并讨论各种策略的运用对破产概率的影响.解决保险公司的投资资金分配问题,在实际应用中具有一定的参考价值. 相似文献