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- Bertrand Kibler, Julien Fatome, +5 authors John M. Dudley
- 2010

The Peregrine soliton is a localized nonlinear structure predicted to exist over 25 years ago, but not so far experimentally observed in any physical system1. It is of fundamental significanceâ€¦ (More)

- Nail Akhmediev, Adrian Ankiewicz, Jose M. Soto-Crespo
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

We present a method for finding the hierarchy of rational solutions of the self-focusing nonlinear SchrÃ¶dinger equation and present explicit forms for these solutions from first to fourth order. Weâ€¦ (More)

We have found a dissipative soliton resonance which applies to nonlinear dynamical systems governed by the complex cubic-quintic Ginzburg-Landau equation. Specifically, for particular values of theâ€¦ (More)

- J. M. Soto-Crespo, Nail Akhmediev, Adrian Ankiewicz
- Physical review letters
- 2000

We present three novel pulsating solutions of the cubic-quintic complex Ginzburg-Landau equation. They describe some complicated pulsating behavior of solitons in dissipative systems. We study theirâ€¦ (More)

- Ph. Grelu, Souad Chouli, J. M. Soto-Crespo, Wonkeun Chang, Adrian Ankiewicz, Nail Akhmediev
- 2010 Photonics Global Conference
- 2010

The concept of a dissipative optical soliton is applied to interpret various pulse dynamics either predicted numerically or observed experimentally in passively mode-locked fiber lasers. The recentlyâ€¦ (More)

- Nail Akhmediev, Adrian Ankiewicz, Roger Grimshaw
- Physical review. E, Statistical physics, plasmasâ€¦
- 1999

Parametric curves featuring Hamiltonian versus energy are useful in the theory of solitons in conservative nonintegrable systems with local nonlinearities. These curves can be constructed in variousâ€¦ (More)

- Nail Akhmediev, Jose M. Soto-Crespo, G. E. Town
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

The complex Ginzburg-Landau equation (CGLE) is a standard model for pulse generation in mode-locked lasers with fast saturable absorbers. We have found complicated pulsating behavior of solitons ofâ€¦ (More)

- Kamal Hammani, Benjamin Wetzel, +5 authors John M. Dudley
- Optics letters
- 2011

The Akhmediev breather formalism of modulation instability is extended to describe the spectral dynamics of induced multiple sideband generation from a modulated continuous wave field. Exactâ€¦ (More)

- Amin Chabchoub, Norbert P Hoffmann, Nail Akhmediev
- Physical review letters
- 2011

The conventional definition of rogue waves in the ocean is that their heights, from crest to trough, are more than about twice the significant wave height, which is the average wave height of theâ€¦ (More)

- John M. Dudley, GoÃ«ry Genty, FrÃ©dÃ©ric Dias, Bertrand Kibler, Nail Akhmediev
- Optics express
- 2009

Numerical simulations of the onset phase of continuous wave supercontinuum generation from modulation instability show that the structure of the field as it develops can be interpreted in terms ofâ€¦ (More)