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Descalzi, O.

On the stability of localized structures in the complex Ginzburg-Landau equation. (English) Zbl 1040.35111

Physica A 327, No. 1-2, 23-28 (2003).
Summary: We study analytically the asymptotic linear stability of fixed-modulus dissipative-dispersive localized solutions of the one-dimensional quintic complex Ginzburg-Landau equation in the region where there exists a coexistence of homogeneous attractors. The linear analysis gives an indication for the existence of pulses with an oscillating modulus.

Cited in 3 Documents

MSC:

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

Keywords:

asymptotic linear stability; fixed-modulus dissipative-dispersive localized solutions; homogeneous-attractor coexistence
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References:

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