共查询到20条相似文献，搜索用时 31 毫秒
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研究二维定常零压等熵流带有三个常状态作为初值的黎曼问题．借助于特征分析方法，在适当的广义Ranine-Hugoniot条件和熵条件下，得到狄拉克激波与真空、接触间断之间相互作用的结果，建立了四种不同的唯一的黎曼解结构。 相似文献
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A direct method for obtaining the expanding integrable models of the hierarchies of evolution equations was proposed. By using the equivalent transformation between the matrices, a new isospectral problem was directly established according to the known isospectral problem, which can be used to obtain the expanding integrable model of the known hierarchy. 相似文献
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在本文中,提出了一种建立多原子纠缠态的方法,这种方法是基于原子─腔场相互作用．适当制备的原子与初始处于真空态的腔场相互作用后,腔场处于数态和真空态的叠加态;随后把制备在基态的原子注入腔中共经历一个共振单光子转移,原子处于纠缠GHZ态而腔场仍处于真空态． 相似文献
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HUANGDe－bin LIUZeng－rong 《上海大学学报(英文版)》2001,5(4):273-275
In this paper,the nonlinear Schrodinger(NLS)equation was analytically solved.Firstly,the stationary solutions of NLS equation were explicitly given by the elliptic functions.Then a family of exact solutions of NLS equation were botained from these stationary solutions by a method for finding new exact solutions from the stationary solutions of integrable evolution equations. 相似文献
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For a nonlinear hyperbolic system of conservation laws, the initial-boundary value problem is concerned with the boundary conditions. A boundary entropy condition is derived based on Dubois F and Le Floch P＇s results by taking a suitable entropy-flux pair （Journal of Differential Equations, 1988, 71（1）： 93-122）. The solutions of the initial-boundary value problem for the system are constructively obtained, in which initial-boundary data are in piecewise constant states. The delta-shock waves appear in their solutions. 相似文献
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通过构造一个完全可积的有限维动力系统及其求解，我们获得了描述光学纤维中正群速色散脉冲传播的非线性薛定谔方程的精确解。 相似文献
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研究关于在可积系统中自变量和因变量均离散的超离散方程及其孤子解．给出了基于极大代数的超离散方程解的验证算法,利用此方法可验证超离散Lotka-Voherra方程的解． 相似文献
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在“初始”的三阶变系数线性方程许可某单参群的条件下，考察并获得另一三阶变系数方程许可同一单参群的条件。证明了如果一辅助的二阶线性方程有精确解，则这两个三阶方程在许可同一单参群时也可积。给出了一些例子。 相似文献
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Stephan F. Gohmann 《Journal of Educational Measurement》1988,25(2):137-148
Comparing SAT scores among states using regression analysis leads to biased results because states differ in the proportion of students taking the exam. When the proportion of students taking the exam is included in the regression equation, the results can be biased because of misspecifieation bias. A method intended to correct for selection bias is presented, and empirical results suggest that sample selection bias is present in SAT score regressions. Regression equations and state rankings are compared between the selection-corrected equation and equations for which the selection problem is not addressed. The proposed method is one of many available as possible solutions to the selection problem. Alternative methods may produce different results 相似文献
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高丽 《江苏广播电视大学学报》2008,19(5)
一般情形下探求真空Einstein方程的精确局部不变解问题在数学物理中一直是人们关注的焦点。人们发现可以依据李变换群的延拓群概念,将运用纤维丛方法已经解决的延拓群算子中的系数问题作为引理,着重分析并求出真空Einstein方程所容许的群是解决上述问题的关键。 相似文献
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黄纯青 《广东教育学院学报》2006,26(3):42-44
讨论了双模压缩真空态的模间纠缠度与压缩参数的关系，同时指出造成以往文献中双模压缩真空态的模间纠缠度的不同形式的图像产生差异的原因是数值计算的浮点数误差． 相似文献
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在已知的映射方程解的基础之上,利用自相似映射方法,通过选择合适的系统参数,给出具有分布系数的（2＋1）维非线性薛定谔系统丰富的精确自相似解,得出系统的可积约束条件,并讨论自相似解的动力学行为。 相似文献
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利用两个超导量子干涉仪与腔场的相互作用,提出一种实现标准两比特量子相位门的方案.利用构造的两比特相位门,还提出了一种制备N比特团簇态的方案.在此方案中,量子信息被编码在两个超导量子干涉仪的相对稳定的基态上.在两个超导量子干涉仪与单模腔场的相互作用过程中,由于超导量子干涉比特的激发态被绝热地消去,激发态所引起的消相干得到了有效的抑制.此外,还讨论方案的实验可行性. 相似文献
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通过构造逼近序列,利用Tanaka-Meyer公式,在生成元g关于y单调,关于z一般可积时,讨论倒向随机微分方程方程解的存在唯一性。 相似文献
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孙业朋 《上海大学学报(英文版)》2005,9(6):471-475
1IntroductionIn recent years , the nonlinear integrable latticeequations have been extensively studied ,such as theAblowitz-Ladik lattice[1], the Toda lattice[2], thedifferential-difference KdVequation[3]and so on[4-7].Inthe theory of nonlinear integrable lattice equations ,ani mportant subject is to search for new Lax integrablelattice equations .In addition,several methods for de-termining exact solutions of soliton equations havebeen developed . The Darboux transformation ( DT)method pl… 相似文献
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讨论了在[a,b]上的可积函数f(x)的平均值函数F(x)={1/x-a∫^xaf(t)dt,f(a),x∈[a,b];x=a的极值问题。 相似文献
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陈立群 《上海大学学报(英文版)》2002,6(2):111-114
An analytical method for predicting chaos in perturbed planar non-Hamiltonian integrable systems with slowly varying parameters was developed.Based on the analysis of the geometric structure of unperturbed systems.the condition of transversely homoclinic intersection was given.The generalized Melnikov function of the perturbed system was fund by applying the theorem on the differentiability of ordinary differential equation solutions with respect to parameters. 相似文献