Exact solutions of the two-dimensional discrete nonlinear Schrodinger equation with saturable nonlinearity

被引：3
|
作者：
Khare, Avinash [1 ]
Rasmussen, Kim O. [2 ,3 ]
Samuelsen, Mogens R. [4 ]
Saxena, Avadh [2 ,3 ]
机构：
[1] Inst Phys, Bhubaneswar 751005, Orissa, India
[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[3] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[4] Tech Univ Denmark, Dept Phys, DK-2800 Lyngby, Denmark
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 37期
关键词：
WAVE-GUIDE ARRAYS;
D O I：
10.1088/1751-8113/43/37/375209
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that the two-dimensional, nonlinear Schrodinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for the stability considerations of these solutions and give examples of stability diagrams. Finally, we show that the effective Peierls-Nabarro barrier for the pulse-like soliton solution is zero.
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页数：10
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