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51.
Under investigation in this paper are two coupled integrable dispersionless (CID) equations modeling the dynamics of the current-fed string within an external magnetic field. Through a set of the dependent variable transformations, the bilinear forms for the CID equations are derived. Based on the Hirota method and symbolic computation, the analytic N-soliton solutions are presented. Infinitely many conservation laws for the CID equations are given through the known spectral problem. Propagation characteristics and interaction behaviors of the solitons are analyzed graphically. 相似文献
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Investigated in this paper is the generalized nonlinear Schrodinger equation with radial symmetry. With the help of symbolic computation, the one-, two-, and N-soliton solutions are obtained through the bilinear method. B~cklund transformation in the bilinear form is presented, through which a new solution is constructed. Graphically, we have found that the solitons are symmetric about x = O, while the soliton pulse width and amplitude will change along with the distance and time during the propagation. 相似文献
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求一个特殊矩阵的n次幂的方法 总被引:2,自引:2,他引:0
由两个特殊的低阶方阵的n次幂,猜测出一种特殊形式的k阶方阵A的n次幂,然后通过数学归纳法证明了结果的正确性.本文提供了一种求特殊幂的方法.对求矩阵的幂给出了一种新思路. 相似文献
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Materials in the transition metal dichalcogenide family, including WS_2, MoS_2, WSe_2, and MoSe_2, etc., have captured a substantial amount of attention due to their remarkable nonlinearities and optoelectronic properties.Compared with WS_2 and MoS_2, the monolayered MoTe_2 owns a smaller direct bandgap of 1.1 eV. It is beneficial for the applications in broadband absorption. In this letter, using the magnetron sputtering technique, MoTe_2 is deposited on the surface of the tapered fiber to be assembled into the saturable absorber. We first implement the MoTe_2-based Q-switched fiber laser operating at the wavelength of 1559 nm. The minimum pulse duration and signal-to-noise ratio are 677 ns and 63 dB, respectively. Moreover, the output power of 25 mW is impressive compared with previous work. We believe that MoTe_2 is a promising 2D material for ultrafast photonic devices in the high-power Q-switched fiber lasers. 相似文献
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在超级稻珞优8号的母本珞红3A的基础上利用杂交和分子标记辅助选择技术,结合田间自然接虫鉴定,聚合了抗褐飞虱基因Bph14和Bph15,成功选育了红莲型水稻新不育系珞红4A.该品种不育性稳定,开花习性好,制种、繁种产量高,配合力强,大田表现为显著的褐飞虱抗性.以珞红4A为母本大规模测配、选育出的包括珞红4A/810323、珞红4A/010436、珞红4A/010492、珞红4A/R5814和珞红4A/9311等苗头组合,普遍表现出褐飞虱抗性好的优势. 相似文献
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Compared with the extensively studied MoS2 and WS2, WTe_2 owns a smaller bandgap, which is applicable to a near-infrared system in photodetectors, communications, and ultrafast optics. In this work, the WTe_2 saturable absorber(SA) with the tapered fiber structure is prepared by the magnetron-sputtering technology, which enables the prepared SA to be low in cost and have strong nonlinearity. The modulation depth of the prepared WTe_2 SA is measured as 31.06%. The Q-switched fiber laser operating at 1.5 μm is successfully investigated by incorporating the proposed SA into the prepared ring cavity. To the best of our knowledge, this is the first attempt of WTe_2 in the Q-switched fiber laser at 1.5 μm. 相似文献
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The blue-shifted supercontinuum generation in a photonic crystal fiber pumped by high peak power femtosecond pulses with a wavelength located in the anomalous dispersion region is investigated experimentally and numerically.The formation of a blue-shifted enhanced supercontinuum due to the pulse collapse is demonstrated.The process of the pulse collapse is measured by using the grating-eliminated no-nonsense observation of ultrafast incident laser light e-fields technique(GRENOUILLE).Numerical simulations in spectral and temporal domains are conducted.The data from the numerical simulations are in good agreement with the experimental results.Our experimental results and numerical simulations show that pulse collapse is the determining factor in the generation of a blue-shifted supercontinuum. 相似文献