共查询到20条相似文献,搜索用时 78 毫秒
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基于包含可变参数增益的四分量耦合非线性薛定谔方程,采用Hirota双线性方法,获得了三亮一暗的二孤子解及其渐近极限,并详细地讨论了二孤子解的传输特性,结果表明:合理选择参数,可以获得二孤子解的弹性碰撞、非弹性碰撞和束缚态传输等情况。 相似文献
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以变系数的非自治非线性薛定谔方程为模型,考虑了一种色散、非线性和自发拉曼散射效应管理下的非自治系统,通过简单变换显式给出了该系统的精确非自治拉曼多色孤子解。基于精确孤子解,解析研究了该拉曼多色孤子在非自治管理系统中的演化特性,发现孤子的中心位置、波数与色散和非线性以及拉曼效应有关,而孤子频移仅与拉曼效应的参数决定,拉曼效应主导了非自治孤子的自频移,引起了孤子的频移在传输过程中不断的发生变化,导致了孤子的多色性。另外,我们数值讨论了该非自治孤子的传输稳定性,结果表明:该非自治拉曼多色孤子在有限的扰动下具有较好的稳定性。 相似文献
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Guo Lin 《Physica D: Nonlinear Phenomena》2012,241(6):705-710
This paper is concerned with the asymptotic spreading of a Lotka-Volterra cooperative system. By using the theory of asymptotic spreading of nonautonomous equations, the asymptotic speeds of spreading of unknown functions formulated by a coupled system are estimated. Our results imply that the asymptotic spreading of one species can be significantly fastened by introducing a mutual species, which indicates the role of cooperation described by the coupled nonlinearities. 相似文献
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La Shalle's invariant-set-theory based asymptotic synchronization of duffing system with unknown parameters 下载免费PDF全文
A novel La Shalle's invariant set theory (LSIST) based adaptive asymptotic
synchronization (LSISAAS) method is proposed to asymptotically synchronize
Duffing system with unknown parameters which also are considered as system
states. The LSISASS strategy depends on the only information, i.e. one state of
the master system. According to the LSIST, the LSISASS method can
asymptotically synchronize fully the states of the master system and the unknown
system parameters as well. Simulation results also validate that the LSISAAS
approach can obtain asymptotic synchronization. 相似文献
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The asymptotic behavior of solutions of the Cauchy problem for the linearized system of magnetohydrodynamic equations with initial conditions localized near a two-dimensional surface was obtained by the authors earlier. Here, this asymptotic behavior is refined. 相似文献
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We discretize some notions of the theory of asymptotic nets and of the theory of transformations of asymptotic nets. These are the Lelieuvre formulas, the Moutard equation, the Moutard transformation, the Weingarten congruences and the Jonas formulas. It allows us to extend the theory of reductions of the discrete version of the Darboux system, applied primarily to multidimensional quadrilateral lattices, on the theory of discrete asymptotic nets which in turn is helpful in a discretization of some classical differential nonlinear integrable systems of physical interest, e.g. the Ernst equation and the stationary modified Nizhnik–Veselov–Novikov system (in form which we call the Fubini–Ragazzi system). 相似文献
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A nonlinear singularly perturbed system of parabolic equations in a two-dimensional domain is considered. The system can be used to simulate the motion of an autowave front in a model of the evolution of urban ecosystems in the case of an inhomogeneous medium whose parameters vary with time. An asymptotic analysis of the problem is performed using methods of the theory of contrast structures. An asymptotic approximation of a front-type solution of the zero and first orders is obtained. 相似文献
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Wigner-Matrix-Based Normality Test and Application to Weak Signal Detection in SISO/SIMO Systems 下载免费PDF全文
《中国物理快报》2016,(12)
Based on the asymptotic spectral distribution of Wigner matrices,a new normality test method is proposed via reforming the white noise sequence.In this work,the asymptotic cumulative distribution function(CDF)of eigenvalues of the Wigner matrix is deduced.A numerical Kullback-Leibler divergence of the empirical spectral CDF based on test samples from the deduced asymptotic CDF is established,which is treated as the test statistic.For validating the superiority of our proposed normality test,we apply the method to weak 8PSK signal detection in the single-input single-output(SISO) system and the single-input multiple-output(SIMO)system.By comparing with other common normality tests and the existing signal detection methods,simulation results show that the proposed method is superior and robust. 相似文献
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Variational iteration method for solving the mechanism of the Equatorial Eastern Pacific El Nino-Southern Oscillation 下载免费PDF全文
A class of coupled system for the E1 Nifio-Southern Oscillation (ENSO) mechanism is studied. Using the method of variational iteration for perturbation theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic behaviour of solution for corresponding problem is considered. 相似文献
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This paper is concerned with the stability and asymptotic stability at large time of solutions to a system of equations, which includes the Lifschitz–Slyozov–Wagner (LSW) system in the case when the initial data has compact support. The main result of the paper is a proof of weak global asymptotic stability for LSW like systems. Previously strong local asymptotic stability results were obtained by Niethammer and Velázquez for the LSW system with initial data of compact support. Comparison to a quadratic model plays an important part in the proof of the main theorem when the initial data is critical. The quadratic model extends the linear model of Carr and Penrose, and has a time invariant solution which decays exponentially at the edge of its support in the same way as the infinitely differentiable self-similar solution of the LSW model. 相似文献