具有对数非线性项的薛定谔方程局部解的调制
Modulation of localized solutions for the Schrödinger equation with logarithm nonlinearity
摘要：
研究了具有对数非线性项的薛定谔方程的局部解析解的存在性。在包含线性和非线性系数的不均匀性后，我们利用相似变换将非自治非线性方程转化为自治方程，并解析求解。特别是，我们研究的稳定性的解析解数值。
英文摘要：
We investigate the presence of localized analytical solutions of the Schrödinger equation with logarithm nonlinearity. After including inhomogeneities in the linear and nonlinear coefficients, we use similarity transformation to convert the nonautonomous nonlinear equation into an autonomous one, which we solve analytically. In particular, we study stability of the analytical solutions numerically.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
