Zharnitsky Vadim, Pelinovsky Dmitry
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.
Chaos. 2005 Sep;15(3):37105. doi: 10.1063/1.1922660.
We consider the nonlinear Schrodinger equation with the nonlinearity management which describes Bose-Einstein condensates under Feshbach resonance. By using an averaging theory, we derive the Hamiltonian averaged equation and compare it with other averaging methods developed for this problem. The averaged equation is used for analytical approximations of nonlinearity-managed solitons.
我们考虑具有非线性管理的非线性薛定谔方程，该方程描述了费什巴赫共振下的玻色 - 爱因斯坦凝聚体。通过使用平均理论，我们推导了哈密顿平均方程，并将其与针对该问题开发的其他平均方法进行比较。平均方程用于对非线性管理孤子进行解析近似。
