On the stability of localized structures in the complex Ginzburg-Landau equation

DOI10.1016/S0378-4371(03)00432-1zbMath1040.35111OpenAlexW2066515384MaRDI QIDQ1407850

Orazio Descalzi

Publication date: 21 September 2003

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(03)00432-1

zbMATH Keywords

asymptotic linear stabilityfixed-modulus dissipative-dispersive localized solutionshomogeneous-attractor coexistence

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

Related Items (3)

OSCILLATING LOCALIZED STRUCTURES IN REACTION–DIFFUSION SYSTEMS ⋮ Transition from pulses to fronts in the cubic–quintic complex Ginzburg–Landau equation ⋮ DISSIPATIVE SOLITONS: PRESENT UNDERSTANDING, APPLICATIONS AND NEW DEVELOPMENTS

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