光折变晶体中非线性演化方程的类行波解

The parallelism traveling wave solutions to the nonlinear evolvement equations in the photorefractive crystal

借鉴行波分析法,得到了光折变晶体中非线性演化方程的类行波解,由此导出了屏蔽高斯型明、暗孤子的数值表达式.在小振幅条件下,用行波分析法和齐次平衡法求出了光折变效应的非线性Schr dinger方程的精确解,从另一个方向得到了屏蔽高斯型孤子的解析式.

Utilizing the traveling wave analysis method, the author found the parallelism traveling wave solutions to the nonlinear evolvement equations in the photorefractive crystal and then educed the numerical value expression of the shield Gauss type bright and dark solution, Under the condition of the small flap, the author employed the traveling wave analysis method and homogeneous balance method to calculate the exact solution to the photorefractive effects of nonlinear Schrodinger equation, and got the expression of the shield Gauss type solution.