标题： 常力作用下暗-亮孤子的自适应约瑟夫森振荡 显示英文标题

标题： Self-Adapted Josephson Oscillation of Dark-Bright Solitons under Constant Forces

摘要： 我们研究了在具有通用非线性参数的两组分玻色-爱因斯坦凝聚体（BECs）中暗-亮孤子的传播，并探讨了非线性相互作用如何丰富孤子动力学，在恒定力作用下产生非正弦振荡。 将亮孤子视为有效的势垒，我们揭示了这种振荡由自适应临界电流和偏压的约瑟夫森方程所表征，其显式解析表达式使用拉格朗日变分法推导得出。 给出了非线性参数空间中的动力学相图，识别出具有不同偏斜正弦依赖性的振荡区域，以及由于势垒不稳定性导致的不可逆孤子扩散区域。 此外，我们得到了孤子的周期性色散关系，表明正负惯性质量之间的转换，这与振荡行为一致。 我们的结果为孤子振荡动力学提供了一个普遍且全面的理论框架，并为研究各种非线性输运及其潜在应用铺平了道路。 显示英文摘要

摘要： We study the propagation of dark-bright solitons in two-component Bose-Einstein condensates (BECs) with general nonlinear parameters, and explore how nonlinear interactions enrich the soliton dynamics giving rise to nonsinusoidal oscillations under constant forces. Treating the bright soliton as an effective barrier, we reveal that such oscillations are characterized by the Josephson equations with self-adapted critical current and bias voltage, whose explicit analytic expressions are derived using the Lagrangian variational method. The dynamical phase diagram in nonlinear parameter space is presented, identifying oscillation regions with different skewed sinusoidal dependence, and diffusion regions with irreversible soliton spreading due to instability of the barrier. Furthermore, we obtain periodic dispersion relations of the solitons, indicating a switch between positive and negative inertial masses, consistent with the oscillation behaviors. Our results provide a general and comprehensive theoretical framework for soliton oscillation dynamics and pave the way for investigating various nonlinear transports and their potential applications.