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11.
《Physics letters. A》2020,384(7):126163
We investigate a quasi one dimensional spin-1 Bose-Einstein Condensates (BEC) in the absence of an external confinement governed by a system of three coupled Gross-Pitaevskii (GP) equation. Based on the Lax-pair, we construct one soliton solution employing gauge transformation method. In addition, the multiple bright and dark soliton solutions are obtained by properly choosing amplitude dependent parameter in the Lax-pair. The results of the paper emphasizes the richness in the structure of soliton solutions admitted by the spin components, a phenomenon which has never been brought out to the fore. We have also extended the gauge transformation method to generate two soliton solutions. 相似文献
12.
13.
Thoudam Roshan 《Applied mathematics and computation》2011,218(6):2730-2739
The equal width equation is solved numerically by Petrov-Galerkin method using linear hat function and quadratic B-spline function as trial and test functions respectively. Product approximation has been used in this method. A linear stability analysis of the scheme is shown to be conditionally stable. Test problems including the single soliton and the interaction of solitons are used to validate the suggested method, which is found to be accurate and efficient. The Maxwellian initial condition pulse and the development of an undular bore are also studied. 相似文献
14.
本文对在考虑五阶非线性极化效应时的非线性Schrodinger方程进行了理论分析,得到初始注入带有相位变化的在光纤中传输的精确孤子解。还采用了数值计算法对两孤子的相互作用进行了研究。 相似文献
15.
庞小峰 《原子与分子物理学报》2002,19(3):319-326
ATP水解作用所释放的能量能引起蛋白质分子中额外电子的激发,其激发与氨基酸残基晶格畸变相互作用,使额外电子自陷成孤子,这孤子在附着有供体(D)和受体(A)的蛋白质分子中运动时,由于孤子与供体电子的相互作用而"自局域"在孤子上进行迁移,从而可把电子供给受体.使用作者提出的孤子理论研究了这种迁移的特征,计算了在这种非平衡态过程中由孤子迁移电子的速率和动能系数,得到了一些有趣的结果,揭示了这种迁移的本质,求得了迁移的大小. 相似文献
16.
余扬政 《厦门大学学报(自然科学版)》1992,31(2):141-145
利用超空间形式,在扰动超共形场论的基础上,构造了N=1超对称Sine-Gordon理论,并研究了相应的经典和量子的守恒荷。 相似文献
17.
在本文中新海森伯格方程族的强对称算子和两族对称被构造出来并且这两族对称构成一个无穷维李代数. 相似文献
18.
Samudra Roy 《Physica D: Nonlinear Phenomena》2007,232(2):103-107
We try to derive some explicit equations for predicting the laws which govern the evolution of different parameters of a propagating optical pulse in a nonlinear medium under the combined influence of two-photon absorption and gain dispersion. Using the generalized Euler-Lagrange equation, the dynamics of different pulse parameters are generated. The Rayleigh’s dissipation function is incorporated in order to take recourse to the dissipative part, with an analogy with the non-conservative frictional problem in classical mechanics. It appears from the study that the influence of the dissipative part can well be explained using the proposed model. The analytically predicted results are compared with the numerical data obtained from direct simulation of the Ginzburg-Landau equation and the results are found to be quite satisfactory, supporting the prediction. 相似文献
19.
Efficient confinement of laser radiation in the core of a photonic crystal fiber increases the nonlinear processes resulting in supercontinuum generation. The technique of adaptive pulse shaping using an evolutionary algorithm provides a method to gain control over such highly nonlinear processes. Adaptive pulse shaping of the driving laser radiation passing through the photonic crystal fiber is employed to modify the shape and composition of the output supercontinuum. Amplitude and phase shaping are used to optimize the broadband emission between 500 and 700 nm, as well as a soliton centered at 935 nm. The intensities of the emission and of the soliton driven by a shaped laser pulse increase in comparison to an unshaped pulse by factors of 4 and 3, respectively. The spectral width in the range of 500-600 nm is increased by approximately 40%. In addition, the suppression of self-steepening effects in supercontinuum spectra is demonstrated. 相似文献
20.
In this paper, 10 Gbps optical soliton transmission link using in-line semiconductor optical amplifiers (SOAs) for already installed standard single mode fibers (SMF) at 1.3 μm wavelength has been reported. The pattern effect and the impact of chirp on pulse propagation after amplification have been investigated. The observations are based on modeling and simulation optical soliton transmission link. Optical soliton pulse transmission over distances of the order of several hundreds of kilometers has been shown with and without initial chirp. 相似文献