共查询到17条相似文献,搜索用时 171 毫秒
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采用行波法约化方程,建立一种变换关系,把求解(3+1)维NizhnikNovikovVeselov(NNV)方程的解转化为求解一维非线性KleinGordon方程的解,从而得到了(3+1)维NNV方程的孤子解和周期解.
关键词:
(3+1)维Nizhnik-Novikov-Veselov方程
非线性Klein-Gordon方程
孤子解
周期解 相似文献
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利用同伦分析法求解了(2+1)维改进的 Zakharov-Kuznetsov方程, 得到了它的近似周期解,该解与精确解符合很好. 结果表明,同伦分析法在求解高维非线性演化方程时, 仍然是一种行之有效的方法. 同时,还对该方法进行了一定的扩展, 经过扩展后的方法能够更方便地求解更多非线性演化方程的高精度近似解析解.
关键词:
同伦分析法
改进的 Zakharov-Kuznetsov方程
周期解 相似文献
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运用重合度理论探讨了一类非线性问题的周期解.然后将其应用于一个厄尔尼诺大气物理机理振荡,简捷地得到了该模型的周期解.
关键词:
非线性
厄尔尼诺现象
周期解 相似文献
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A nonlinear differential equation describing the evolution of the intermediate reagent concentration is derived for the generalized
Schlogl model of a chemical reaction in an imperfect system. It is demonstrated that concentration waves corresponding to
a periodic analytic solution of the evolutionary equation arise in the imperfect system. Conditions of existence of periodic
and solitary waves are formulated depending on the concentration of the initial component and the imperfection parameters
of the examined system.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 81–84, July, 2005. 相似文献
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Paul C. Fife Hansjrg Kielhfer Stanislaus Maier-Paape Thomas Wanner 《Physica D: Nonlinear Phenomena》1997,100(3-4):257-278
In this paper we prove the existence of doubly periodic solutions of certain nonlinear elliptic problems on
2 and study the geometry of their nodal domains. In particular, we will show that if we perturb a nonlinear elliptic equation exhibiting a small amplitude doubly periodic solution whose nodal domains form a checkerboard pattern, then the perturbed equation will have a unique nearby solution which is still doubly periodic, but for which the nodal line structure breaks up. Moreover, we indicate what can happen if we start with a large amplitude doubly periodic solution whose nodal domains form a checkerboard pattern, and we relate these solutions to the Cahn-Hilliard equation and spinodal decomposition. 相似文献
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We study the nonlinear dynamics of two-component Bose-Einstein condensates in one-dimensional periodic optical lattice
potentials. The stationary state perturbation solutions of the
coupled two-component nonlinear
Schrödinger/Gross-Pitaevskii equations are constructed by using the direct perturbation method. Theoretical analysis revels that the perturbation solution is the chaotic one, which
indicates the existence of chaos and chaotic region in parameter space. The corresponding numerical calculation results agree well with the analytical results. By applying the chaotic
perturbation solution, we demonstrate the atomic spatial population and the energy distribution of the system are chaotic generally. 相似文献
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Existence of periodic solutions for the nonlinear functional differential equation in the lossless transmission line model 下载免费PDF全文
We study a time delay equation for the lossless transmission line model. Under suitable conditions, by using the continuation theorem of the coincidence degree theory, the existence of the periodic solution for the nonlinear functional differential equation is obtained. 相似文献
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We study the nonlinear dynamics of two-component Bose-Einstein condensates in one-dimensional periodic optical lattice potentials. The stationary state perturbation solutions of the coupled two-component nonlinear Schr(o)dinger/Gross-Pitaevskii equations are constructed by using the direct perturbation method. Theoretical analysis revels that the perturbation solution is the chaotic one, which indicates the existence of chaos and chaotic region in parameter space. The corresponding numerical calculation results agree well with the analytical results. By applying the chaotic perturbation solution, we demonstrate the atomic spatial population and the energy distribution of the system are chaotic generally. 相似文献