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In evolution equations for a complex amplitude, the phase obeys a much more intricate equation than the amplitude. Nevertheless, general methods should be applicable to both variables. On the example ...
We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromor...
Using a multiple-scale asymptotic approach, we have derived the complex cubic Ginzburg-Landau equation for amplified and nonlinearly saturated surface plasmon polaritons propagating and diffracting al...
In the tangent space of some spatially extended dissipative systems one can observe "physical" modes which are highly involved in the dynamics and are decoupled from the remaining set of hyperbolicall...
We consider the dynamical degenerate four-wave mixing (FWM) model in a cubic nonlinear medium including both the time relaxation of the induced nonlinearity and the nonlocal coupling. The initial ten-...
In this paper, we deal with the generalized derivative Ginzburg-Landau equation in two spatial dimensions, and obtain the existence of global weak solutions for this equation subject to periodic bound...
2001Vol.35No.2pp.159-161DOI: Spiral Solutions of the Two-Dimensional Complex Ginzburg-Landau Equation LIU Shi-Da,1,2 LIU Shi-Kuo,1 FU Zun-Tao1,2 and ZHAO Qiang1 1 Depa...
2006Vol.45No.4pp.647-652DOI: Drift of Spiral Waves in Complex Ginzburg-Landau Equation YANG Jun-Zhong1 and ZHANG Mei2 1 School of Science, Beijing University of Posts an...
2005Vol.44No.1pp.79-84DOI: Soliton Solutions of Discrete Complex Ginzburg-Landau Equation via Extended Hyperbolic Function Approach LI Hua-Mei, LIN Ji, and XU You-Sheng ...
2005Vol.43No.5pp.787-790DOI: Exact Traveling Wave Solutions for a Kind of Generalized Ginzburg-Landau Equation LIU Cheng-Shi Department of Mathematics, Daqing Petroleum...

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