衍射管理孤子的超指数衰减
Super-exponential decay of Diffraction Managed Solitons
摘要：
这是一系列论文的第二部分，在那里我们开发了严格的衰减估计呼吸解决方案的平均版本的非线性薛定谔方程。在这一部分中，我们研究了衍射管理离散非线性薛定谔方程，一个方程，描述耦合波导阵列与周期性衍射管理几何形状。我们发现，对于消失的平均衍射，所有的非线性和非局部衍射管理方程的解决方案衰减超指数。作为我们方法的副产品，我们也有一个简单的证明存在的衍射管理孤子的情况下，平均衍射消失。
英文摘要：
This is the second part of a series of papers where we develop rigorous decay estimates for breather solutions of an averaged version of the non-linear Schrödinger equation. In this part we study the diffraction managed discrete non-linear Schrödinger equation, an equation which describes coupled waveguide arrays with periodic diffraction management geometries. We show that, for vanishing average diffraction, all solutions of the non-linear and non-local diffraction management equation decay super-exponentially. As a byproduct of our method, we also have a simple proof of existence of diffraction managed solitons in the case of vanishing average diffraction.
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