AI 中文总结
本文研究具有时空相关变系数的可饱和非线性薛定谔方程的局域解动力学与稳定性，采用变分方法和数值模拟分析外势构型影响，发现稳定性随调制频率交替出现稳区与不稳区，为非线性波系统局域结构控制提供见解。
AI 中文摘要
本文研究具有时空相关变系数的可饱和非线性薛定谔方程中局域解的动力学与稳定性，采用变分方法和数值模拟分析不同外势构型的影响。结果表明，解的稳定性对调制参数高度敏感，随调制频率变化会出现交替的稳定与不稳定区域。这些发现为非线性波系统中局域结构的控制提供了重要见解，对光波导、玻色-爱因斯坦凝聚体及其他非线性介质具有潜在应用价值。
英文摘要
In this paper we study the dynamics and stability of localized solutions in a saturable nonlinear Schrödinger equation with space- and time-dependent variable coefficients. Using a variational approach and numerical simulations, we analyze the effects of different external potential configurations. Our results reveal that the stability of the solutions is highly sensitive to the modulation parameters, leading to the emergence of alternating stable and unstable regions as a function of the modulation frequency. These findings provide valuable insights into the control of localized structures in nonlinear wave systems, with potential implications for optical waveguides, Bose-Einstein condensates, and other nonlinear media.
Comments9 pages, 11 figures
Journal refOptical and Quantum Electronics 57, 394 (2025)
DOI：10.1007/s11082-025-08311-z
