Standing waves of the complex Ginzburg-Landau equation
, 2013 We prove the existence of nontrivial standing wave solutions of the complex Ginzburg-Landau equation $\phi_t = e^{i\theta} \Delta \phi + e^{i\gamma} |\phi |^\alpha \phi $ with periodic boundary conditions. Our result includes all values of $\theta $ and $
Cazenave, Thierry +2 more
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Attractive Interaction Between Pulses in a Model for Binary-Mixture Convection
, 1995 Recent experiments on convection in binary mixtures have shown that the interaction between localized waves (pulses) can be repulsive as well as {\it attractive} and depends strongly on the relative {\it orientation} of the pulses.
B. Malomed +21 more
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Polynomial Complex Ginzburg-Landau equations in almost periodic spaces [PDF]
, 2022 Agustin Besteiro
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Time dependent Ginzburg-Landau equation for sheared granular flow [PDF]
, 2012 Kuniyasu Saitoh, Hisao Hayakawa
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A logarithmic extension of the Hölder inequality
Journal of Inequalities and Applications, 1999 We prove a logarithmic extension of the Höllder inequality, motivated by an application to the complex Ginzburg–Landau equation.
Velo G, Ginibre J
doaj
Convective and absolute instabilities in the subcritical Ginzburg-Landau equation [PDF]
, 1999 Pere Colet, D. Walgraef, M. San Miguel
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Degenerate elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation [PDF]
, 2021 H.W. Schuermann, V. S. Serov
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Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. [PDF]
Proc Math Phys Eng Sci, 2020 Kostianko A.
europepmc +1 more source
Interacting helical vortex filaments in the 3-dimensional Ginzburg-Landau equation [PDF]
, 2019 Juan Dávila +3 more
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Reduced Description of the Confined Quasi-Reversible Ginzburg-Landau Equation [PDF]
, 2000 Marcel G. Clerc +2 more
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