非齐次二-三次非线性薛定谔方程局部解的调制
Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients
摘要：
研究了一类具有非齐次非线性项的二次-三次非线性薛定谔方程的精确定域解的存在性。使用一个特定的Anterior，我们将非自治的非线性方程转化为一个自治的，这产生了相应的组合状态的解决方案，在空间中本地化，在时间上的振荡行为。直接的数值模拟，以验证对小的随机扰动调制的解决方案的稳定性。
英文摘要：
We study the presence of exact localized solutions in a quadratic-cubic nonlinear Schrödinger equation with inhomogeneous nonlinearities. Using a specific ansatz, we transform the nonautonomous nonlinear equation into an autonomous one, which engenders composed states corresponding to solutions localized in space, with an oscillating behavior in time. Direct numerical simulations are employed to verify the stability of the modulated solutions against small random perturbations.
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