Stability of travelling wave solutions of the derivative Ginzburg-Landau equations

DOI10.1016/S1007-5704(97)90018-6zbMath0923.35162MaRDI QIDQ1289799

Guihua Wan, Bainian Lu, Bo-ling Guo

Publication date: 29 July 1999

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

stabilityChern numberexistence of travelling wave solutionunstable augmented bundle

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Traveling wave solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity

Cites Work

• Unnamed Item
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Spatiotemporal complexity of the cubic Ginzburg-Landau equation
• On the stability of travelling waves in weighted \(L^ \infty\) spaces
• Existence of Travelling Wave Solutions of Predator–Prey Systems via the Connection Index
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• Existence and stability of singular heteroclinic orbits for the Ginzburg - Landau equation

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