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[en] An outline for the construction of an effective theory of interacting solitons in N = 2 supergravity is presented. The solitons are described by their asymptotic properties, carrying translational and supertranslational degrees of freedom. We discuss briefly the classical and the quantized dynamics for the free soliton. The Lagrangian for the motion of a soliton in a curved supergravity background is exhibited and its implications for an effective supercharge interaction are mentioned. (Author)
[en] For the simplest of the discrete models of the Boltzmann equation: the Broadwell model, exact solutions have been obtained by Cornille in the form of bisolitons. In the present Note, we build exact solutions for more complex models
[fr]Pour le plus simple des modeles discrets de l'equation de Boltzmann: le modele de Broadwell, des solutions exactes ont ete obtenues par Cornille, sous forme de bisolitons. Dans la presente Note, nous construisons des solutions exactes pour des modeles plus complexes
[en] Highlights: • Here, we focus to the excitable CS in the cavity with saturable absorber without holding beam. • We remove the holding beam, it reduces spatial volume of system and increase flexibility of system. • We switch on excitable CS and then it is compared with stable and self-pulsing CSs. • The logic gates (AND and OR) has been proposed by using of excitable CSs. - Abstract: Cavity solitons (CSs) have an important role as information bits in all optical information processing. In this paper, we switched on a new type of CS as excitable cavity soliton in the cavity soliton laser (CSL). Also, we compared the behavior of excitable CS with self-pulsing and stable CSs by using of suitable values for system parameters and then we designed logical gates (AND, OR) with excitable CSs in the CSL. The capabilities of excitable CSs has been studied to improve possibilities for designing of all optical gates.
[en] The Langrangian for a single free soliton in N = 2 supergravity as proposed in an earlier paper, is studied. We analyze the algebra of constraints and discuss the local gauge symmetry due to the existence of first class constraints. The classical motion as well as a Gupta-Bleuler type quantization are given. (Author)