LAGRANGIAN APPROACH FOR DARK SOLITONS
LAGRANGIAN APPROACH FOR DARK SOLITONS
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DOI：
10.1016/0030-4018(94)00644-a
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发表时间：
1995-02-01
影响因子：
2.4
通讯作者：
KROLIKOWSKI, W
中科院分区：
文献类型：
--
作者：
KIVSHAR, YS;KROLIKOWSKI, W
基于非线性薛定谔方程的标准拉格朗日量的非平凡修正，我们提出了一种暗孤子的变分形式。我们的方法可以考虑各种渐近非零局部化的解决方案，应用变分技术连同正确的定义的动量和能量。我们演示了，在几个特定的例子，这种变分方法是如何工作的，我们也指出它的适用性更一般的问题，例如，那些涉及分析的暗孤子相互作用以及微扰诱导的暗孤子和光涡旋孤子的动力学。
We propose a variational formalism for dark solitons based on a nontrivial modification of the standard Lagrangian of the nonlinear Schrodinger equation. Our approach allows to consider a variety of asymptotically nonvanishing localised solutions for applying a variational technique together with the correct definition of momentum and energy. We demonstrate, on several particular examples, how this variational approach works, and we also point out its suitability for more general problems, e.g. those involving the analysis of the dark soliton interaction as well as the perturbation-induced dynamics of dark solitons and optical vortex solitons.