Variable coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries than their counter constant coefficients in some real-world problems. Under consideration is a nonlinear variable coefficients Schrödinger’s equation with spatio-temporal dispersion in the Kerr law media. We are aimed at constructing novel solutions to the equation under consideration. Bright and combined dark–bright optical solitons are successfully revealed with aid of the complex amplitude ansatz scheme. Using two test functions, two nonautonomous complex wave solutions in dark and bright optical solitons forms are successfully revealed. The effect of the variable coefficients on the reported results can be clearly seen on the 3-dimensional and contour graphs.

在某些实际问题中，可变系数非线性演化方程为我们提供了介质非均匀性和边界非均匀性方面的更多实际方面，而不是它们的反常数系数。考虑中的是在Kerr定律介质中具有时空色散的非线性可变系数Schrödinger方程。我们旨在为正在考虑的方程式构造新颖的解决方案。借助复杂的振幅ansatz方案，成功地揭示了明亮的暗暗组合光孤子。使用两个测试函数，成功地揭示了暗和亮光学孤子形式的两个非自治复波解。可变系数对报告结果的影响可以在3维和轮廓图上清楚看到。