Convergence to stationary states in the Maxwell-Bloch system from nonlinear optics

被引：4

作者：

Jochmann, F ^{[1
]}

机构：

[1] Humboldt Univ, Inst Angew Math, Berlin, Germany

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2002年 / 60卷 / 02期

关键词：

D O I：

10.1090/qam/1900496

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Maxwell-Bloch equations from nonlinear optics are addressed. First, suitable weak formulation admitting discontinuous solutions to the equations and an existence proof for weak solutions are given. Furthermore, the long-time asymptotic behavior of the solutions (E,H,P) is highlighted. Results are detailed in terms of several theorems.

引用

页码：317 / 339

页数：23

共 50 条

[31] OPTICAL SOLITON PROPAGATION IN A COUPLED SYSTEM OF THE NONLINEAR SCHRODINGER-EQUATION AND THE MAXWELL-BLOCH EQUATIONS
PORSEZIAN, K
NAKKEERAN, K
JOURNAL OF MODERN OPTICS, 1995, 42 (09) : 1953 - 1958
[32] Nonlinear waves of the Hirota and the Maxwell Bloch equations in nonlinear optics
李传忠
贺劲松
K. Porseizan
Chinese Physics B, 2013, 22 (04) : 292 - 301
[33] New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System
M. R. Cândido
J. Llibre
C. Valls
Mathematical Physics, Analysis and Geometry, 2019, 22
[34] Nonautonomous characteristics of the breathers and rogue waves for a amplifier nonlinear Schrödinger Maxwell-Bloch system
Lei Wang
Xiao Li
Lu Lu Zhang
Min Li
Feng-Hua Qi
The European Physical Journal D, 2015, 69
[35] Modulation instability and breathers synchronization of the nonlinear Schrodinger Maxwell-Bloch equation
Zuo, Da-Wei
APPLIED MATHEMATICS LETTERS, 2018, 79 : 182 - 186
[36] A spectral method for the bidimensional Maxwell-Bloch equations in nonlinear crystals.
Saut, O
COMPTES RENDUS MATHEMATIQUE, 2005, 340 (12) : 927 - 932
[37] Inverse problem for the linearized Maxwell-Bloch system for layered media
J Inverse Ill Posed Probl, 1 (85):
[38] A Quasi Separable Dissipative Maxwell-Bloch System for Laser Dynamics
Gorni, Gianluca
Residori, Stefania
Zampieri, Gaetano
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2019, 18 (02) : 371 - 381
[39] Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations
Dumas, Eric
Sueur, Franck
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2012, 11 (03) : 503 - 543
[40] Homoclinic orbits and Jacobi stability on the orbits of Maxwell-Bloch system
Liu, Yongjian
Chen, Haimei
Lu, Xiaoting
Feng, Chunsheng
Liu, Aimin
APPLICABLE ANALYSIS, 2022, 101 (13) : 4377 - 4396

← 1 2 3 4 5 →