碰撞非均匀玻色-爱因斯坦凝聚体中通过平均构造振幅调制波
Construction of modulated amplitude waves via averaging in collisionally inhomogeneous Bose-Einstein condensates
摘要：
本文应用平均方法分析了非线性薛定谔方程的时空结构，从而研究了散射长度沿空间周期性变化并过零的准一维碰撞非均匀玻色-爱因斯坦凝聚体的动力学.通过在某个开区间上调整积分常数c，可以证明存在无数（正测度集）不稳定的振幅调制波（周期和准周期）。最后，一些数值模拟支持我们的结果。
英文摘要：
We apply the averaging method to analyze spatio-temportal structures in nonlinear Schrödinger equations and thereby study the dynamics of quasi-one-dimensional collisionally inhomogeneous Bose-Einstein condensates with the scattering length varying periodically in spatial and crossing zero. Infinitely many (positive measure set) modulated amplitude waves (periodic and quasi-periodic), which are instable, can be proved to exist by adjusting the intergration constant c on some open interval. Finally, some numerical simulations support our results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
