Search results for "Peregrine"
showing 8 items of 48 documents
Higher-Order Modulation Instability in Nonlinear Fiber Optics
2011
International audience; We report theoretical, numerical, and experimental studies of higher-order modulation instability in the focusing nonlinear Schrödinger equation. This higher-order instability arises from the nonlinear superposition of elementary instabilities, associated with initial single breather evolution followed by a regime of complex, yet deterministic, pulse splitting. We analytically describe the process using the Darboux transformation and compare with experiments in optical fiber. We show how a suitably low frequency modulation on a continuous wave field induces higher-order modulation instability splitting with the pulse characteristics at different phases of evolution r…
The Peregrine breather of order nine and its deformations with sixteen parameters solutions to the NLS equation
2015
Abstract We construct new deformations of the Peregrine breather ( P 9 ) of order 9 with 16 real parameters. With this method, we obtain explicitly new families of quasi-rational solutions to the NLS equation in terms of a product of an exponential depending on t by a ratio of two polynomials of degree 90 in x and t; when all the parameters are equal to 0, we recover the classical P 9 breather. We construct new patterns of different types of rogue waves as triangular configurations of 45 peaks as well as rings and concentric rings.
Climate Effects on Breeding Phenology of Peregrine and Lanner Falcons in the Mediterranean
2022
We explored the effects of weather on the timing and reproduction of the Mediterranean Peregrine Falcon Falco peregrinus brookei and the Lanner Falcon F. biarmicus feldeggii living on the Mediterranean island of Sicily. We found that the start date of incubation has changed during 1979–2019 and analysed whether incubation timing affected the productivity of both populations and whether the change of incubation date and the quality of breeding sites depended on climatic conditions. Overall spring temperature and rainfall increased on Sicily and the incubation date of the Peregrine and the Lanner Falcon has shifted to be about one week later over the time period 1979 to 2019. Linear mixed mod…
A comparison of peregrine Falco peregrinus and lanner Falco biarmicus trophic niche in Sicily
2017
Prey availability is a crucial factor for the reproductive success of apex predators and the analysis of their diets can provide meaningful information about the quality of their habitats. In Sicily the declining lanner falcon Falco biarmicus feldeggii and the increasing peregrine falcon Falco peregrines brookei share similar habitats and trophic needs. By studying their current and past diets, we have investigated whether the characteristics of their foraging ecology could explain these different demographic trends. In 2014-2016, we identified 805 peregrine and 250 lanner Vertebrate prey from 15 peregrine and 6 lanner nests, and compared our dataset with previous data from Sicily (Peregrin…
Shallow water rogue waves in nonlinear optical fibers
2013
The dynamics of extreme waves, often known as freak or rogue waves (RW), is presently a subject of intensive research. In oceanography, RW are mostly known as a sudden deep-water event which is responsible for ship wreakages and can be modeled by the 1D Nonlinear Schrodinger Equation (NLSE). In this framework, an ideal testbed is provided by optical pulse propagation in nonlinear optical fibers: extreme solitary wave emissions during supercontinuum generation or the first experimental observation of the Peregrine solitons have indeed been carried out exploiting the modulation instability occuring in fibers with anomalous dispersion.
Peregrine soliton in optical fiber-based systems
2011
International audience; We report the first observation in optics of the Peregrine soliton, a novel class of nonlinear localized structure. Two experimental configurations are explored and the impact of non-ideal initial conditions is discussed.
18 parameter deformations of the Peregrine breather of order 10 solutions of the NLS equation
2015
We present here new solutions of the focusing one-dimensional nonlinear Schrödinger (NLS) equation which appear as deformations of the Peregrine breather of order 10 with 18 real parameters. With this method, we obtain new families of quasi-rational solutions of the NLS equation, and we obtain explicit quotients of polynomial of degree 110 in x and t by a product of an exponential depending on t. We construct new patterns of different types of rogue waves and recover the triangular configurations as well as rings and concentric rings as found for the lower-orders.
Natal Dispersal of First Winter Peregrine Falcons
2017
Quantitative information about natal dispersal is available for many species, usually focused on their long-distance migration. Basic information on non-migrant Peregrine falcons is virtually lacking, despite the amount of scientific data on this species, and the sensitivity of this stage in the Peregrines’ life history. Information on movements is crucial for the definition of young post-fledging areas, the behaviour of floaters and also gives key information about juvenile mortality. Thanks to satellite telemetry, we were able to provide data about the destiny, movement and habitat use during both the phase of post-fledging dependence by parents (PFDP) and the dispersal period of 14 Peregr…