Dissipative solitons in the discrete Ginzburg-Landau equation with saturable nonlinearity

被引:8
作者
Abdullaev, Fatkhulla Kh [1 ]
Salerno, Mario [2 ,3 ]
机构
[1] Uzbek Acad Sci, Phys Tech Inst, Tashkent 100084, Uzbekistan
[2] Univ Salerno, Dipartimento Fis ER Caianiello, Via Giovanni Paolo 2, I-84084 Salerno, Italy
[3] Univ Salerno, INFN, Grp Collegato Salerno, Via Giovanni Paolo 2, I-84084 Salerno, Italy
关键词
MODULATIONAL INSTABILITY; SCHRODINGER-EQUATION; ARRAYS;
D O I
10.1103/PhysRevE.97.052208
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The modulational instability of nonlinear plane waves and the existence of periodic and localized dissipative solitons and waves of the discrete Ginzburg-Landau equation with saturable nonlinearity are investigated. Explicit analytic expressions for periodic solutions with a zero and a finite background are derived and their stability properties investigated by means of direct numerical simulations. We find that while discrete periodic waves and solitons on a zero background are stable under time evolution, they may become modulationally unstable on finite backgrounds. The effects of a linear ramp potential on stable localized dissipative solitons are also briefly discussed.
引用
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页数:5
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