Dissipative periodic waves, solitons, and breathers of the nonlinear Schrodinger equation with complex potentials

被引：89

作者：

Abdullaev, F. Kh. ^{[1
,2
]}

Konotop, V. V. ^{[1
,3
]}

Salerno, M. ^{[4
,5
]}

Yulin, A. V. ^{[1
]}

机构：

[1] Univ Lisbon, Fac Ciencias, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal

[2] Uzbek Acad Sci, Phys Tech Inst, Tashkent 100084, Uzbekistan

[3] Univ Lisbon, Fac Ciencias, Dept Fis, P-1749016 Lisbon, Portugal

[4] Univ Salerno, Dipartimento Fis ER Caianiello, CNISM, I-84084 Fisciano, SA, Italy

[5] Univ Salerno, INFN Grp Collegato Salerno, I-84084 Fisciano, SA, Italy

来源：

PHYSICAL REVIEW E | 2010年 / 82卷 / 05期

关键词：

All Open Access; Green;

D O I：

10.1103/PhysRevE.82.056606

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：

Exact solutions for the generalized nonlinear Schrodinger equation with inhomogeneous complex linear and nonlinear potentials are found. We have found localized and periodic solutions for a wide class of localized and periodic modulations in the space of complex potentials and nonlinearity coefficients. Examples of stable and unstable solutions are given. We also demonstrated numerically the existence of stable dissipative breathers in the presence of an additional parabolic trap.

引用

页数：6

共 12 条

[1] Dissipative dynamics of matter-wave solitons in a nonlinear optical lattice [J].