Modulational instability and discrete breathers in the discrete cubic-quintic nonlinear Schrodinger equation

被引：53
作者：
Abdullaev, F. Kh.
Bouketir, A.
Messikh, A.
Umarov, B. A.
机构：
[1] Uzbek Acad Sci, Phys Tech Inst, Tashkent 700084, Uzbekistan
[2] Int Islam Univ Maalaysia, Fac Engn, Dept Engn Sci, Kuala Lumpur 50728, Malaysia
[3] Int Islam Univ Maalaysia, Fac Sci, Dept Computat & Theroret Sci, Kuala Lumpur 50728, Malaysia
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2007年 / 232卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
modulational instability; discrete breather; discrete nonlinear; Schrodinger equation; stability;
D O I：
10.1016/j.physd.2007.05.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the properties of modulational instability and discrete breathers in the cubic-quintic discrete nonlinear Schrodinger equation. We analyze the regions of modulational instabilities of nonlinear plane waves. Using the Page approach [J.B. Page, Phys. Rev. B 41 (1990) 7835], we derive the conditions for the existence and stability for bright discrete breather solutions. It is shown that the quintic nonlinearity brings qualitatively new conditions for stability of strongly localized modes. The application to the existence of localized modes in the Bose-Einstein condensate (BEQ with three-body interactions in an optical lattice is discussed. The numerical simulations agree with the analytical predictions. (c) 2007 Elsevier B.V. All rights reserved.
引用
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页码：54 / 61
页数：8
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