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Vortices in Ginzburg-Landau equations
1998Summary: GL models were first introduced by V. Ginzburg and L. Landau around \(1950\) in order to describe superconductivity. Similar models appeared soon after for various phenomena: Bose condensation, superfluidity, non linear optics. A common property of these models is the major role of topological defects, termed in our context vortices.
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Conservation laws of the complex Ginzburg-Landau equation
Physics Letters, Section A: General, Atomic and Solid State Physics, 2023Nikolai Kudryashov
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First integrals and general solution of the complex Ginzburg-Landau equation
Applied Mathematics and Computation, 2020Nikolai Kudryashov
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On the numerical controllability of the Ginzburg-Landau equation
Communications to SIMAI Congress, 2006Garzon R, Valente V
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Optical solitons with complex Ginzburg–Landau equation by modified simple equation method
Optik, 2017Aly Seadawy +2 more
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Asymptotics for the Generalized Two-Dimensional Ginzburg–Landau Equation
Journal of Mathematical Analysis and Applications, 2000Jinqiao Duan +2 more
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The Dynamics and Interaction of Quantized Vortices in the Ginzburg–Landau–Schrödinger Equation
SIAM Journal on Applied Mathematics, 2007Yanzhi Zhang, Qiang Du, Weizhu Bao
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Optical solitons with complex Ginzburg–Landau equation for two nonlinear forms using F-expansion
Chinese Journal of Physics, 2019Qin Zhou +2 more
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