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Schrodinger equation with time [化] 薛定谔时间方程
Title： Soliton solution of the nonlinear Schrodinger equation with boundary conditions. 关键词：孤立子;带边界的可积系统;驻波解;行波解
The time evolution laws of the scattering data are obtained for the Schrodinger Equation with the potential u(x, t) satisfying (1). din ger方程的位势u按方程(1)演化时,它的散射量随时间t的演化规律。
In my paper, the method is dealt with the nonlinear Schrodinger equation with several perturbation terms. 本文用这种方法处理了自聚焦非线性薛定谔方程的孤子微扰理论。
The generalized nonlinear Schrodinger equation with distributed dispersion, nonlinearity, and gain or loss describing the behavior of picosecond pulse is considered. 本文考虑描述皮秒脉冲传输行为的分布参数的非线性薛定谔方程,分布参数包括群速度色散、非线性和增益/损耗。
High-order harmonic spectra are obtained by numerically solving the one-dimensional time-dependent Schrodinger equation with single-active-electron (SAE) approximation. 通过用单电子近似求解含时薛定谔方程,用加窗傅里叶分析的方法,分析了单原子产生的高次谐波的时间特性。
High order harmonic spectra in an intense laser field are obtained by salving the time dependent schrodinger equations with two level atom model.The results are agreement with experimental data. 利用两能级原子模型，通过直接求解含时薛定谔方程得到了强激光场中的高次谐波谱，和实验中观察到的谐波谱相似。
Early attempts to merge quantum mechanics with special relativity involved the replacement of the Schrodinger equation with a covariant equation such as the Klein-Gordon equation or the Dirac equation. 早先的努力就是将量子力学与涉及具有协变式方程诸如开尔因-戈登方程或迪拉克方程的薛定谔方程代换的狭义相对论统一起来。
The exact bright and dark soliton solutions of the nonlinear Schrodinger equation with two-photon absortion and with bandlimited optical gain, respectively, are given with the travelling wave method. 用行波方法给出了含有增益色散项和双光子吸收项的非线性Schrodinger方程的皮秒严格亮基孤子解和严格暗基孤子解，以及严格暗基孤子解存在的条件；
In this article we solved the nonlinear Schrodinger equation with the method of split-step Fouior to simulate supercontinuum generation in photonic crystal fibers on different conditions, and gave a particular analysis. 本文采用分步傅里叶的方法数值求解广义非线性薛定谔方程，模拟了不同条件下光子晶体光纤中超连续谱产生的情况，并作了详细的分析和讨论，得出的主要结论如下：
In addition, studying on theconfined atoms under quantum mechanics theory also has a great academical interest-ing, which get involved in the solving Schrodinger equation with inseparable variable. 采用量子力学理论对受限原子进行研究涉及变量不可分离薛定谔方程的求解、复杂边界条件及界面条件的处理等基本理论问题,因而有重要的学术意义。
nonlinear Schrodinger equation with wave operator 具波动算子的非线性Schrodinger方程
This paper deals with the quenching problem for degenerate semilinear parabolic equations with time delay. 考虑带时滞的退化半线性抛物方程的熄灭问题.
We got to the train station at noon with time to spare. 我们中午就到了火车站，距开车还有一段时间。
The letters on this gravestone have worn away with time. 随着时间的流逝，碑文已磨损了。
We got to station at noon with time to spare. 我们中午就到了火车站,离开车还有一段时间。
the nonlinear Schrodinger equation with varying coefficients 变系数非线性薛定谔方程
The dynamics of coupled system of semilinear parabolic equations with time delays is investigated using upper and lower solutions and its associated monotone iterations. 利用上下解方法及相应的单调迭代序列给出了解的渐近性质。
With time the pinna becomes shrivelled. 耳廓随之变成皱缩。
The imperial dye had softened with time. 浓艳的色彩随着时间而变得柔和。