共查询到20条相似文献,搜索用时 109 毫秒
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孤子运动的Miles方程是一个具特征的非线性Schrdinger型方程.借求孤子解的微扰法,导出所遵循的矩阵方程,和孤子解的修正量δu(x,λ).并据双孤子解,计算了它的周期互作用状态
关键词:
Miles方程 微扰双孤子解 相似文献
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根据尖峰孤子解的特点,提出了一种待定系数法求非线性波方程尖峰孤子解的思路和方法,并利用该方法求解了5个非线性波方程,即CH(Camassa-Holm)方程、五阶KdV-like 方程、广义Ostrovsky方程、组合KdV-mKdV方程和Klein-Gordon方程,比较简便地得到了这些方程的尖峰孤子解.文献中关于CH方程的结果成为本文结果的特例.通过数值模拟给出了部分解的图像.简要说明了非线性波方程存在尖峰孤子解所须满足的特定条件.该方法也适用于求其他非线性波方程的尖峰孤子解.
关键词:
非线性波方程
尖峰孤子解
待定系数法 相似文献
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使用改进的齐次平衡方法,研究了破裂孤子方程的孤子解结构,发现它具有单孤子解,单曲线孤子解,单dromion孤子解,多dromion孤子解。 相似文献
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有偏压的光伏光折变晶体中屏蔽光伏孤子的自偏转 总被引:5,自引:2,他引:3
修正了有偏压的光伏光折变晶体中屏蔽光伏孤子的理论。用微扰法研究了屏蔽光伏孤子的自偏转,得出孤子光呸中心的运动为抛物线,并且空间频率分量随传播距离而线性移动,改变外偏压或旋转光的偏振方向可以控制其自偏转。当光伏效应可忽略时,屏蔽光伏孤子的非线性波动方程就转化为屏蔽孤子的非线性波动方程,它的自偏转就转化为屏蔽孤子的自偏转。当外偏压为零时,屏蔽光伏孤子的非线性波动方程就转化为光伏孤子的非线性波动方程,它的自偏转证明了光伏孤子中也存在着自偏转。 相似文献
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孤立子及其相互作用的初等分析 总被引:2,自引:0,他引:2
用较简捷而直观的试探解法几种典型的孤立子方程(KdV方程,Toda晶格波方程,SG方程与NLS方程)求得单孤子解和两孤子解,以说明孤子及孤立子间相互作用的特点,并讨论了物理意义。 相似文献
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利用双参数假设给出了一类非线性耦合方程的若干孤子解公式,使物理上许多著名的方程作为该方程的特殊情形得到相应的孤子解,指正了一些文献的错误.
关键词:
非线性发展方程
双参数假设
孤子解 相似文献
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利用双线性方法给出了2+1维Sawaka-Kotera(SK)方程的N孤子解.将N孤子解中的实参数扩大到复数范围,得到了该方程的呼吸子解,描述线孤子和y周期孤子相互作用的解和两个y周期孤子相互作用的解.从解析和几何两个角度探讨了两个y周期孤子的相互作用.相互作用性质和耦合系数有关.对于SK方程,耦合系数的取值只允许方程中存在弹性的排斥相互作用.
关键词:
y周期孤子相互作用
SK方程
双线性方法 相似文献
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Over the last 20 years, dichromated gelatin has been considered to be the best holographic recording material. However, the non-reproducibility of results in relation to light sensitivity, for a large number of experimental factors, restricted the use of this material. In this work, we consider the refractive index modulation profile and its stability. We propose a mixed method using Kogelnik's coupled wave theory (an approximate theory) and an alternative theory of diffraction in modulated media (an exact theory). The aim of this contribution is to use this mixed method in order to study the evolution of the modulation profile in correlation with the modification of the chemical environment during the final stage of processing. In our study we compare the effect of different kinds of final processing baths on the refractive index modulation profile. In order to characterize our holograms we have developed an experimental set-up for diffractive elements analysis. The experimental results are compared with the theoretical ones. For the numerical study we have carried out a complete set of numerical computations by using our own programs. These programs are based on a complete and exact solution of the Maxwell equations. 相似文献
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B.J. Choudhury 《Physics letters. A》1973,45(1):45-46
We have calculated the transition rate for high-order bound-bound transitions in hydrogen by using the approximate perturbation theory result of Bebb and Gold. We find that there is a considerable amount of discrepancy between the results of our calculation and those of the exact perturbation theory calculation of Gontier and Trahin. 相似文献
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We compare the results of our theory of the dielectric function for an electron—hole plasma with a series of experimental gain spectra for GaAs, which have been obtained by tuning the frequency of the exciting laser. 相似文献
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We derive an expression for the exchange enhanced spin susceptibility (χs) of metals by using the pseudopotential formalism and degenerate perturbation theory. The advantage of our theory over the recent spin-density-functional formalism is that we have included spin-orbit effects. Our results for χs of alkali metals agree with the experimental results. 相似文献
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D. Heitmann 《Optics Communications》1977,20(2):292-297
We have investigated the diffraction of light from sinusoidally modulated silver surfaces with grating periods from 4000 to 8000 Å for wavelengths of the visible spectrum. We compare our experiments with theoretical results from a light scattering theory in the first non-vanishing order of the modulation height. This theory includes polarization and the optical constants of the grating material. Good agreement of the theory with the experiments is found for weakly modulated gratings if grating anomalies are avoided. 相似文献
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