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Time-localized solitary wave solutions of the one-dimensional complex Ginzburg-Landau equation ͑CGLE͒ are analyzed for the case of normal group-velocity dispersion. Exact soliton solutions are found for both the cubic and the quintic CGLE. The stability of these solutions is investigated numerically. The regions in the parameter space in which stable… (More)

We extend the concept of internal mode to envelope solitons and show that this mode is responsible for long-lived, weakly damped periodic oscillations of the soliton amplitude observed in numerical simulations. We present analytical and numerical results for solitons of the generalized nonlinear S chr6dinger equation and analyze the example of the… (More)

- Robert W. Micallef, Vsevolod V. Afanasjev, Yuri S. Kivshar, John D. Love
- 1996

It is shown that self-guided optical beams with power-law asymptotics, i.e., algebraic optical solitons, can be regarded as a special case of sech-type solitons ͑i.e. solitons with exponentially decaying asymptotics͒ in the limit where the beam propagation constant coincides with the threshold for linear wave propagation. This leads to the conjecture that… (More)

- Z Chen, M Segev, T H Coskun, D N Christodoulides, Y S Kivshar, V V Afanasjev
- Optics letters
- 1996

We report the observation of incoherently coupled dark-bright spatial soliton pairs in a biased bulk photorefractive crystal. When such a pair is decoupled, the dark component evolves into a triplet structure, whereas the bright one decays into a self-defocusing beam.

- V V Afanasjev
- Optics letters
- 1995

Solitons propagating in a system with spectral filtering, being nonlinearly stable, suffer from the growth of linear radiation. This effect can be partially overcome by the use of nonlinear gain. I analyze steady-state soliton propagation in such a system and reveal unexpected the singularity of the soliton amplitude.

- V V Afanasjev, Y S Kivshar, C R Menyuk
- Optics letters
- 1996

Third-order dispersion has a detrimental effect on dark solitons, leading to resonant generation of growing soliton tails and soliton decay. This effect is shown to be much stronger than that for bright solitons.

Nonlinear theory describing the instability-induced dynamics of dark solitons in the generalized nonlinear Schrödinger equation is presented. Equations for the evolution of an unstable dark soliton, including its transformation into a stable soliton, are derived using a multiscale asymptotic technique valid near the soliton instability threshold. Results of… (More)

- V V Afanasjev
- Optics letters
- 1995

I have found the approximate analytical solution in explicit form for a vector soliton with an arbitrary component ratio. My solution describes the dependence of soliton intensity on polarization angle and also nonlinear polarization rotation. The analytical results agree well with the numerical simulations.

- W H Loh, A B Grudinin, V V Afanasjev, D N Payne
- Optics letters
- 1994

We study both experimentally and theoretically soliton interaction in the presence of a weak nonsoliton component and show that the existence of a frequency-shifted cw wave results in a temporal shift of the soliton.

- V V Afanasjev, N Akhmediev
- Optics letters
- 1995

It is shown that the soliton interaction can be signif icantly reduced in a system with ultimately stable soliton propagation. Moreover, under the action of strong filtering and nonlinear gain the soliton interaction can change sign from attraction to repulsion and vice versa. The formation of in-phase and out-of-phase bound states is also demonstrated.