Traveling hole solutions of the complex Ginzburg-Landau equation: A review
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Publication:5940213
DOI10.1016/S0167-2789(01)00174-9zbMath0977.35023OpenAlexW1982580135MaRDI QIDQ5940213
Publication date: 6 January 2002
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00174-9
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (12)
The phase structure of grain boundaries ⋮ Stationary modulated-amplitude waves in the 1D complex Ginzburg-Landau equation ⋮ Transition to spatiotemporal chaos via stationary branching shocks and holes ⋮ All meromorphic traveling waves of cubic and quintic complex Ginzburg-Landau equations ⋮ Optical solitons with complex Ginzburg-Landau equation for two nonlinear forms using \(F\)-expansion ⋮ Asymptotic behavior of stochastic discrete complex Ginzburg--Landau equations ⋮ Dark soliton dynamics under the complex Ginzburg-Landau equation ⋮ Stability of nonlinear waves: pointwise estimates ⋮ The world of the complex Ginzburg-Landau equation ⋮ Generation of periodic travelling waves in cyclic populations by hostile boundaries ⋮ Unfolding spatiotemporal dynamics through symmetry reduction based on orbit topology ⋮ Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation
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