共查询到18条相似文献,搜索用时 93 毫秒
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求单摆运动周期的一种近似解法 总被引:14,自引:7,他引:7
本文提出求单摆运动周期的两种近似解法。近似解法与传统解法相比,具有简单实用的优点,特别在解非线性微分方程中具有一定的理论价值和推广前景。 相似文献
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利用Ising模型在无外场周期边界条件下的哈密顿量的对称性,对矩阵进行块对角化,严格求得2×2×n简单立方晶格Ising模型的解析解,对其他两种自旋集团较小的情况的热力学函数自由能进行数值计算,在数据拟合的基础上提出一种近似解.
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Variational iteration method for solving perturbed mechanism of western boundary undercurrents in the Pacific 总被引:9,自引:0,他引:9 下载免费PDF全文
A class of perturbed mechanisms for the western boundary
undercurrents in the Pacific is considered. The model of generalized
governing equations is studied. Employing the method of variational
iteration, an approximate solution of corresponding model is
obtained. It is proved from the results that the solution for the
variational iteration method can be used for analysing operation of
the perturbed mechanism of western boundary undercurrents in the
Pacific. 相似文献
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Asymptotic solution for a perturbed mechanism of western boundary undercurrents in the Pacific 总被引:1,自引:0,他引:1 下载免费PDF全文
This paper consider a class of perturbed mechanism for the western
boundary undercurrents in the Pacific. The model of generalized
governing equations is studied. Using the perturbation method, it
constructs the asymptotic solution of the model. And the accuracy of
asymptotic solution is proved by the theory of differential
inequalities. Thus the uniformly valid asymptotic expansions of the
solution are obtained. 相似文献
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CHENG Xue-Ping YE Li-Jun LIN Ji 《理论物理通讯》2007,48(2):227-231
By applying Lou's direct perturbation method to perturbed nonlinear Schroedinger equation and the critical nonlinear SchrSdinger equation with a small dispersion, their approximate analytical solutions including the zero-order and the first-order solutions are obtained. Based on these approximate solutions, the analytical forms of parameters of solitons are expressed and the effects of perturbations on solitons are briefly analyzed at the same time. In addition, the perturbed nonlinear Schroedinger equations is directly simulated by split-step Fourier method to check the validity of the direct perturbation method. It turns out that the analytical results given by the direct perturbation method are well supported by numerical calculations. 相似文献
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By applying Lou's direct perturbation method to perturbed nonlinear Schr(o)dinger equation and the critical nonlinear Schr(o)dinger equation with a small dispersion, their approximate analytical solutions including the zero-order and the first-order solutions are obtained. Based on these approximate solutions, the analytical forms of parameters of solitons are expressed and the effects of perturbations on solitons are briefly analyzed at the same time. In addition, the perturbed nonlinear Schr(o)dinger equations is directly simulated by split-step Fourier method to check the validity of the direct perturbation method. It turns out that the analytical results given by the direct perturbation method are well supported by numerical calculations. 相似文献
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Approximate homotopy similarity reduction for the generalized Kawahara equation via Lie symmetry method and direct method 下载免费PDF全文
<正>This paper studies the generalized Kawahara equation in terms of the approximate homotopy symmetry method and the approximate homotopy direct method.Using both methods it obtains the similarity reduction solutions and similarity reduction equations of different orders,showing that the approximate homotopy direct method yields more general approximate similarity reductions than the approximate homotopy symmetry method.The homotopy series solutions to the generalized Kawahara equation are consequently derived. 相似文献