论文标题
一种“隐喻”的非线性多模纤维激光方法，用于弱脉络性玻璃纤维冷凝水
A "metaphorical" nonlinear multimode fiber laser approach to weakly-dissipative Bose-Einstein condensates
论文作者
论文摘要
我们通过耗散限制潜力证明了二维非线性波模式的稳定。我们的分析和数值分析基于广义的耗散质量 - 彼得斯基方程，它利用了在异常分散体中运行的玻色子凝结物和模式锁定纤维激光的动力学之间的密切类比。在最后一个情况下，使用耗散增强模式清洁，稳定的二维模式的形成对应于时空模式锁定。我们分析了模式不稳定的主要情况，从孤子溶解到其分裂和时空湍流，以及它们对分级耗散的依赖。
We demonstrate the stabilization of two-dimensional nonlinear wave patterns by means of a dissipative confinement potential. Our analytical and numerical analysis, based on the generalized dissipative Gross-Pitaevskii equation, makes use of the close analogy between the dynamics of a Bose-Einstein condensate and that of mode-locked fiber laser, operating in the anomalous dispersion regime. In the last case, the formation of stable two-dimensional patterns corresponds to spatiotemporal mode-locking, using dissipation-enhanced mode cleaning. We analyze the main scenarios of pattern destabilization, varying from soliton dissolution to its splitting and spatiotemporal turbulence, and their dependence on graded dissipation.
