Stationary and oscillatory bound states of dissipative solitons created by third-order dispersion

Hidetsugu Sakaguchi, Dmitry V. Skryabin, Boris A. Malomed

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We consider the model of fiber-laser cavities near the zero-dispersion point, based on the complex Ginzburg–Landau equation with the cubic-quintic nonlinearity and third-order dispersion (TOD) term. It is known that this model supports stable dissipative solitons. We demonstrate that the same model gives rise to several specific families of robust bound states of solitons. There are both stationary and dynamical bound states, with constant or oscillating separation between the bound solitons. Stationary states are multistable, corresponding to different values of the separation. Following the increase of the TOD coefficient, the stationary bound state with the smallest separation gives rise to the oscillatory one through the Hopf bifurcation. Further growth of TOD leads to a bifurcation transforming the oscillatory bound state into a chaotically oscillating one. Families of multistable three- and four-soliton complexes are found too, the ones with the smallest separation between the solitons again ending by the transition to oscillatory states through the Hopf bifurcation.

Original languageEnglish
Pages (from-to)2688-2691
Number of pages4
JournalOptics Letters
Volume43
Issue number11
DOIs
Publication statusPublished - Jun 1 2018

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solitary waves
laser cavities
fiber lasers
nonlinearity
coefficients

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Stationary and oscillatory bound states of dissipative solitons created by third-order dispersion. / Sakaguchi, Hidetsugu; Skryabin, Dmitry V.; Malomed, Boris A.

In: Optics Letters, Vol. 43, No. 11, 01.06.2018, p. 2688-2691.

Research output: Contribution to journalArticle

Sakaguchi, Hidetsugu ; Skryabin, Dmitry V. ; Malomed, Boris A. / Stationary and oscillatory bound states of dissipative solitons created by third-order dispersion. In: Optics Letters. 2018 ; Vol. 43, No. 11. pp. 2688-2691.
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