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偏微分方程非线性脉冲波的研究
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作者 袁明生 邹杰涛 《石河子大学学报(自然科学版)》 CAS 2006年第5期636-639,共4页
阐述了利用偏微分方程研究非线性脉冲波的历史背景和研究现状,说明了偏微分方程非线性脉冲波研究中有待于解决的问题,以引起更多学者关注这一问题的研究。
关键词 偏微分方程 非线性脉冲波 传播 干扰
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Theoretical study on pulse-shaping of Stokes pulse with steep leading edge by two Brillouin amplifiers
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作者 YANG Jun LU Zhi-Wei HE Wei-Ming 《Optoelectronics Letters》 EI 2007年第6期473-476,共4页
A novel configuration of two Brillouin amplifiers, which contains a main amplifier combined with a reshaping amplifier, is suggested to control pulse shape of Stokes pulses with steep leading edge. Dependences of puls... A novel configuration of two Brillouin amplifiers, which contains a main amplifier combined with a reshaping amplifier, is suggested to control pulse shape of Stokes pulses with steep leading edge. Dependences of pulse shapes on several param- eters are numerically simulated. By changing the distance between the two amplifiers, the leading edge of amplified pulses can be finely adjusted. Smooth and symmetrical pulses or pulses with slow leading-edge are achieved. Theoretical re- searches prove that this system is fit for shaping pulses with steep leading edge, especially, for controlling leading edge of pulses. The results provide useful and necessary theoretical basis and guidance for the future experimental research. 展开更多
关键词 非线性光学 布里渊 脉冲
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Focusing of Spherical Nonlinear Pulses for Nonlinear Wave Equations Ⅲ. Subcritical Case
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作者 袁明生 《Journal of Shanghai Jiaotong university(Science)》 EI 2005年第3期322-326,共5页
This paper studied spherical pulses of solutions of the system of semilinear wav e equations with the pulses focusing at a point in three space variables. It is shown that there is no nonlinear effect at leading terms... This paper studied spherical pulses of solutions of the system of semilinear wav e equations with the pulses focusing at a point in three space variables. It is shown that there is no nonlinear effect at leading terms of pulses, when the ini tial data is subcritical. 展开更多
关键词 nonlinear wave equations spherical pulses SUBCRITICAL
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High-Dimensional Nonlinear Envelope Equations and Nonlinear Localized Excitations in Photonic Crystals
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作者 HANG Chao HUANG Guo-Xiang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第1X期149-154,共6页
We investigate the nonlinear localized structures of optical pulses propagating in a one-dimensional photonic crystal with a quadratic nonlinearity. Using a method of multiple scales we show that the nonlinear evolut... We investigate the nonlinear localized structures of optical pulses propagating in a one-dimensional photonic crystal with a quadratic nonlinearity. Using a method of multiple scales we show that the nonlinear evolution of a wave packet, formed by the superposition of short-wavelength excitations, and long-wavelength mean fields, generated by the self-interaction of the wave packet, are governed by a set of coupled high-dimenslonal nonlinear envelope equations, which can be reduced to Davey-Stewartson equations and thus support dromionlike high-dimensional nonlinear excitations in the system. 展开更多
关键词 photonic crystal DROMION
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