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
Abdullaev, F. Kh.
Gammal, A.
da Luz, H. L. F.
Tomio, Lauro
[J]. PHYSICAL REVIEW A, 2007, 76 (04):
[2] Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach
Akhmediev, N
Soto-Crespo, JM
Town, G
[J]. PHYSICAL REVIEW E, 2001, 63 (05): : 566021 - 566021
[3] [Anonymous], ENVIRONMENT, V39, P149, DOI [10.1016/j, DOI 10.5821/ACE.13.39.5366]
[4] The world of the complex Ginzburg-Landau equation
Aranson, IS
Kramer, L
[J]. REVIEWS OF MODERN PHYSICS, 2002, 74 (01) : 99 - 143
[5] Real spectra in non-Hermitian Hamiltonians having PT symmetry
Bender, CM
Boettcher, S
[J]. PHYSICAL REVIEW LETTERS, 1998, 80 (24) : 5243 - 5246
[6] Nonlinear patterns in Bose-Einstein condensates in dissipative optical lattices
Bludov, Yu. V.
Konotop, V. V.
[J]. PHYSICAL REVIEW A, 2010, 81 (01):
[7] Theory of nonlinear matter waves in optical lattices
Brazhnyi, VA
Konotop, VV
[J]. MODERN PHYSICS LETTERS B, 2004, 18 (14): : 627 - 651
[8] Bloch Oscillations in Complex Crystals with PT Symmetry
Longhi, S.
[J]. PHYSICAL REVIEW LETTERS, 2009, 103 (12)
[9] Complex absorbing potentials
Muga, JG
Palao, JP
Navarro, B
Egusquiza, IL
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2004, 395 (06): : 357 - 426
[10] Optical solitons in PT periodic potentials
Musslimani, Z. H.
Makris, K. G.
El-Ganainy, R.
Christodoulides, D. N.
[J]. PHYSICAL REVIEW LETTERS, 2008, 100 (03)

← 1 2 →