Results 51 to 60 of about 36,135 (246)
Renormalization Group and the Ginzburg-Landau equation [PDF]
Communications in Mathematical Physics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bricmont, J., Kupiainen, A.
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Unstable manifolds and Schroedinger dynamics of Ginzburg-Landau vortices
, 2002 The time evolution of several interacting Ginzburg-Landau vortices according to an equation of Schroedinger type is approximated by motion on a finite-dimensional manifold. That manifold is defined as an unstable manifold of an auxiliary dynamical system,
Lange, O., Schroers, B. J.
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BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION
Моделирование и анализ информационных систем, 2015 We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg– Landau equation subject to a large third-order dispersion perturbation.
I. I. Ovsyannikov +2 more
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Modulation equations near the Eckhaus boundary: the KdV equation [PDF]
, 2018 We are interested in the description of small modulations in time and space of wave-train solutions to the complex Ginzburg-Landau equation \begin{align*} \partial_T \Psi = (1+ i \alpha) \partial_X^2 \Psi + \Psi - (1+i \beta ) \Psi |\Psi|^2, \end{align*}
de Rijk, Björn +2 more
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An equation for the limit state of a superconductor with pinning sites
Electronic Journal of Differential Equations, 2005 We study the limit state of the inhomogeneous Ginzburg-Landau model as the Ginzburg-Landau parameter $kappa=1/epsilono infty$, and derive an equation to describe the limit state.
Jianzhong Sun
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Қарағанды университетінің хабаршысы. Математика сериясыThe Ginzburg-Landau equation with rapidly oscillating terms in the equation and boundary conditions in a perforated domain was considered. Proof was given that the trajectory attractors of this equation converge weakly to the trajectory attractors of ...
K.A. Бекмаганбетов +3 more
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, 2011 We prove existence, uniqueness and asymptotics of global smooth solutions for the Landau-Lifshitz-Gilbert equation in dimension $n \ge 3$, valid under a smallness condition of initial gradients in the $L^n$ norm.
Melcher, Christof
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Results in Physics, 2023 In the present work, we employed a novel modification of the Sardar sub-equation approach, leading to the successful derivation of several exact solutions for the time-fractional Ginzburg–Landau equation with Kerr law nonlinearity.
Muhammad Amin Sadiq Murad +4 more
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Localized structures in coupled Ginzburg–Landau equations [PDF]
Physics Letters A, 2000 Coupled Complex Ginzburg-Landau equations describe generic features of the dynamics of coupled fields when they are close to a Hopf bifurcation leading to nonlinear oscillations. We study numerically this set of equations and find, within a particular range of parameters, the presence of uniformly propagating localized objects behaving as coherent ...
Montagne, Raúl +1 more
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Coexisting Pulses in a Model for Binary-Mixture Convection
, 1995 We address the striking coexistence of localized waves (`pulses') of different lengths which was observed in recent experiments and full numerical simulations of binary-mixture convection.
B. Malomed +22 more
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