In the PhD dissertation, we study nonlinear phenomena of one-dimensional lattices and Bose-Einstein condensates (BEC) by using multiple-scale method combined with quasi-discreteness approximation.

• 本文中，我们主要通过多重尺度并结合准离散性近似方法研究一维晶格和玻色-爱因斯坦凝聚态(BEC)中的非线性现象。