共查询到20条相似文献,搜索用时 15 毫秒
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报道在带阻尼参数激励下的一维非线性点阵中所观察到的非传播孤子现象。并在理论上采用多重尺度展开法把同相和错相的孤子与扭结实验结果归入立方非线性Schr?dinger方程的理论框架。根据非线性Schr?dinger方程,我们预言在这种实验点阵中,自局域结构的波型只取决于点阵的固有参量,而与激励参数无关。
关键词: 相似文献
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A universal theory of steady-state one-dimensional photorefractive spatial solitons is developed which applies to the steady-state one-dimensional photorefractive solitons under various realizations, including the screening solitons in a biased photorefractive medium, the photovoltaic solitons in open- and closed-circuit photovoltaic-photorefractive media and the screening-photovoltaic solitons in biased photovoltaic-photorefractive media. Previous theories advanced individually elsewhere for these solitons can be obtained by simplifying the universal theory under the appropriate conditions. 相似文献
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Following the idea of three‐wave resonant interactions of lower hybrid waves, it is shown that quantum‐modified lower hybrid (QLH) wave in electron–positron–ion plasma with spatial dispersion can decay into another QLH wave (where electron and positrons are activated, whereas ions remain in the background) and another ultra‐low frequency quantum‐modified ultra‐low frequency Lower Hybrid (QULH) (where ions are mobile). Quantum effects like Bohm potential and Fermi pressure on the lower hybrid wave significantly reshaped the dispersion properties of these waves. Later, a set of non‐linear Zakharov equations were derived to consider the formation of QLH wave solitons, with the non‐linear contribution from the QLH waves. Furthermore, modulational instability of the lower hybrid wave solitons is investigated, and consequently, its growth rates are examined for different limiting cases. As the growth rate associated with the three‐wave resonant interaction is generally smaller than the growth associated with the modulational instability, only the latter have been investigated. Soliton solutions from the set of coupled Zakharov and NLS equations in the quasi‐stationary regime have been studied. Ordinary solitons are an attribute of non‐linearity, whereas a cusp soliton solution featured by nonlocal nonlinearity has also been studied. Such an approach to lower hybrid waves and cusp solitons study in Fermi gas comprising electron positron and ions is new and important. The general results obtained in this quantum plasma theory will have widespread applicability, particularly for processes in high‐energy plasma–laser interactions set for laboratory astrophysics and solid‐state plasmas. 相似文献
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Single or/and multipeak solitons in plasma under relativistic electromagnetic field are reviewed. The incident electromagnetic
field is allowed to have a zero or/and nonzero initial constant amplitude. Some interesting numerical results are obtained
that include a high-number multipeak laser pulse and single or/and low-number multipeak plasma wake structures. It is also
shown that there exists a combination of soliton and oscillation waves for plasma wake field. Also, the electron density exhibits
multi-caviton structure or the combination of caviton and oscillation. A complete eigenvalue spectrum of parameters is given
wherein some higher peak numbers of multipeak electromagnetic solitons in the plasma are included. Moreover, some interesting
scaling laws are presented for field energy via numerical approaches. Some implications of results are discussed.
相似文献
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Solitary waves in relativistic electromagnetic plasmas are
obtained numerically. The longitudinal momentum of electrons has
been taken into account in the problem. It is found that in the
moving frame with electromagnetic field propagating the solitary
waves can exist in both cases, where the vector potential
frequency is larger or smaller than the plasma characteristic frequency. 相似文献
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《Journal of Nonlinear Mathematical Physics》2013,20(2):269-278
We obtain in terms of the Weierstrass elliptic ?-function, sigma function, and zeta function an explicit parametrized solution of a particular nonlinear, ordinary differential equation. This equation includes, in special cases, equations that occur in the study of both homogeneous and inhomogeneous cosmological models, and also in the dynamic Bose–Einstein condensates–cosmology correspondence, for example. 相似文献
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非线性光纤方向耦合器孤子动力特性分析 总被引:2,自引:0,他引:2
利用变分方法,导出了双曲正割型光孤子在非线性光纤耦合器中传输时满足的动力学方程组,分析了该方程组的平衡点性态,讨论了光孤子的开关特性.指出参数|β|<2π.是能实现完全的开关操作的必要条件. 相似文献
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This paper investigates the collision between two nonlinear waves with arbitrary angle in two-dimensional nonlinear lattice. By using the extended Poincarge-Lighthill-Kuo perturbation method, it obtains two Korteweg-de Vries equations for nonlinear waves in both the ζ and η directions, respectively, and derives the analytical phase shifts after the collision of two nonlinear waves. Finally, the solution of u(υ) up to O(ε^3) order is given. 相似文献
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确定了面心立方晶格中线性分子的障碍转动势能函数形式,基于光谱数据中导出惰性气体晶格中的HF分子的障碍传动势能函数。 相似文献
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利用变分法和数值计算方法研究了空间调制作用下Bessel型光晶格中玻色-爱因斯坦凝聚体系中孤立子的稳定性, 给出了存在随空间非周期变化的线性Bessel型光晶格和非线性光晶格(原子之间非线性相互作用的空间调制)时, 各种参数组合下涡旋和非涡旋孤立子的稳定性条件. 首先, 利用圆对称的高斯型试探波函数得出描述体系稳定性参数满足的Euler-Lagrange方程和变分法分析体系稳定性所需要的有效作用势能的表达式. 然后, 根据有效作用势能是否具有局域最小值判断体系是否具有稳定状态, 得出体系具有稳定状态时参数所满足的条件. 最后, 利用有限差分法求解Gross-Pitaevskii方程验证变分法结果的正确性, 所得结果和变分法结果一致.
关键词:
Bessel型光晶格
非线性光晶格
孤立子
稳定性 相似文献
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Hongcheng Wang 《Frontiers of Physics》2016,11(5):114204
This paper presents a theoretical analysis of the existence and stability of multi-peak solitons in parity–time-symmetric Bessel optical lattices with defects in nonlinear media. The results demonstrate that there always exists a critical propagation constant μ c for the existence of multi-peak solitons regardless of whether the nonlinearity is self-focusing or self-defocusing. In self-focusing media, multi-peak solitons exist when the propagation constant μ > μ c . In the self-defocusing case, solitons exist only when μ < μ c . Only low-power solitons can propagate stably when random noise perturbations are present. Positive defects help stabilize the propagation of multi-peak solitons when the nonlinearity is self-focusing. When the nonlinearity is self-defocusing, however, multi-peak solitons in negative defects have wider stable regions than those in positive defects. 相似文献