In chapter 4, we investigated the behavior of wave in a nonlinear monatomic chain with damping. Parameter dissipation nonlinear Schrodinger ( PDNLS) equation of lattice dynamics is first obtained. Then we discuss effect of damping on soliton of monatomic chain. 第四章,我们研究弱阻尼作用下非线性单原子链中的波动行为,首次在晶格动力学中得到了参数耗散型非线性Schrodinger方程oDNLS方程人以及阻尼对单原子链中孤立子的影响。
In proceeding to develope "Laser Mode", our approach is based on the quantum treatment& the Schrodinger wave equation for solid state in the case of Born-Oppenheimer approximation and the transition matrix with nonadiabatic operator. 本文进一步发展了Laser模型,研究是基于对Burn-Oppenheimer近似下的固体薛定谔方程和非绝热近似算符的跃迁矩阵进行的量子理论处理。
Finally, we discussed the collapse dynamics of wave packet and extended the collapse argument on nonlinear Schrodinger equation to the case of the density and field coupling equation system. 最后,讨论了波包的坍缩动力学问题,把非线性Schrodinger方程的坍缩讨论推广到密度和场耦合的方程组的情况。
The Global Solution for Cauchy Problem for a Nonlinear Wave Equation and Nonlinear Schrodinger Equation Coupled System 一类非线性波动方程和非线性Schrodinger方程耦合组的Cauchy问题的整体经典解
Schrodinger wave equation is solved in TF Statistical potential including modification of electronic self-interaction for arbitrary temperature and matter density. 本文用含有电子自作用修正的TF势求解了任意温度物质密度下的Schrodinger波动方程。