在获得一个含变化3.5阶非线性、弱非局域性、增益及非线性增益的广义薛定谔方程的自相似解的基础上,采用数值方法研究了解的稳定性.结果表明,在同时具有或没有非局域性和5阶非线性的介质中可以形成与传播自相似波;而且当相位参数远离士～1/2时,非局域度和累积衍射将极大影响自相似波的稳定性.
Exact self-similar solution of a generalized nonlinear Schrodinger equation with varying cubic-quintic nonlinearity, weakly nonlocality, gain and nonlinear gain was obtained. The stability of the solution was studied numerically. The results show that the self-similar solitary wave can exist and propagate in the media with or without both nonlocality and quintic nonlinearity, and that the stability of the self-similar solitary wave is drastically influenced by the degree of nonlocality and the cumulative diffraction under the condition that the phase parameter is far from ±√2
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