Pattern selection and modulational instability in the one-dimensional modified complex Ginzburg–Landau equation
作者： Alidou Mohamadou , A. Kenfack Jiotsa , T.C. Kofané
DOI: 10.1016/J.CHAOS.2004.09.106
关键词: Mathematical physics 、 Mathematics 、 Pattern selection 、 Traveling wave 、 Linear stability analysis 、 Ginzburg landau equation 、 Instability 、 Modulational instability 、 State (functional analysis)
摘要: We study analytically modulational instability in the one-dimensional modified complex Ginzburg–Landau equation for the travelling wave systems. The linear stability analysis is …
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Hermann Haken, Synergetics: An Introduction ,(1983)
V. V. Konotop, M. Salerno, Modulational instability in Bose-Einstein condensates in optical lattices Physical Review A. ,vol. 65, pp. 021602- ,(2002) , 10.1103/PHYSREVA.65.021602
Fluctuations, Instabilities, and Phase Transitions Plenum Press. ,(1975) , 10.1007/978-1-4615-8912-9
Tomas Bohr, Mogens H. Jensen, Angelo Vulpiani, Giovanni Paladin, Dynamical Systems Approach to Turbulence ,(1998)
Akira Hasegawa, Plasma instabilities and nonlinear effects ,(1975)
Kazuhiro Nozaki, Naoaki Bekki, Exact Solutions of the Generalized Ginzburg-Landau Equation Journal of the Physical Society of Japan. ,vol. 53, pp. 1581- 1582 ,(1984) , 10.1143/JPSJ.53.1581
I.N. Bakx, H.F.P. Knaap, The heat of mixing of the systems ortho H2- para H2 and ortho D2- para D2 in the liquid state Physica. ,vol. 39, pp. 1- 4 ,(1968) , 10.1016/0031-8914(68)90039-6
K. Nozaki, N. Bekki, Pattern selection and spatiotemporal transition to chaos in the Ginzburg-Landau equation Physical Review Letters. ,vol. 51, pp. 2171- 2174 ,(1983) , 10.1103/PHYSREVLETT.51.2171
The Eckhaus and Benjamin-Feir resonance mechanisms Proc. R. Soc. Lond. A. ,vol. 362, pp. 27- 41 ,(1978) , 10.1098/RSPA.1978.0118
R. Graham, H. Haken, Laserlight — first example of a second-order phase transition far away from thermal equilibrium European Physical Journal. ,vol. 237, pp. 31- 46 ,(1970) , 10.1007/BF01400474