Bound states of solitary pulses in linearly coupled Ginzburg-Landau equations

Javid Atai, Boris A. Malomed

Research output: Contribution to journalArticlepeer-review


We investigate the existence, formation and stability of multipulse bound states in a system of two Ginzburg-Landau equations coupled by linear terms. The system includes linear gain, diffusion, dispersion, and cubic nonlinearity in one component, and only linear losses in the other. This is a straightforward model of a doped dual-core nonlinear optical fiber in which only one core is pumped. The model supports exact stable solitary-pulse solutions. By means of systematic numerical simulations, we find that bound states of two, three, and more pulses with a uniquely determined separation between them exist. The three-pulse bound states are stable against symmetric perturbations, but prove to be unstable against asymmetric ones. Only the two-pulse states are found to be fully stable.

Original languageEnglish
Pages (from-to)551-556
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number6
StatePublished - 3 Aug 1998


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