二维晶格的孤子理论：离散非线性薛定谔方程
Soliton theory of two-dimensional lattices: the discrete nonlinear schrödinger equation.
作者信息
Arévalo Edward
机构信息
Technische Universität Darmstadt, Institut für Theorie elektromagnetischer Felder, TEMF, Schlossgartenstrasse 8 D-64289 Darmstadt, Germany.
出版信息
Phys Rev Lett. 2009 Jun 5;102(22):224102. doi: 10.1103/PhysRevLett.102.224102. Epub 2009 Jun 4.
Abstract
We theoretically investigate the motion of collective excitations in the two-dimensional nonlinear Schrödinger equation with cubic nonlinearity. The form of these excitations for a broad range of parameters is derived. Their evolution and interaction is numerically studied and the modulation instability is discussed. The case of saturable nonlinearity is revisited.
摘要
我们从理论上研究了具有立方非线性的二维非线性薛定谔方程中集体激发的运动。推导了在广泛参数范围内这些激发的形式。对它们的演化和相互作用进行了数值研究，并讨论了调制不稳定性。重新审视了饱和非线性的情况。
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