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A semianalytic theory for the pulse dynamics in similariton amplifiers and lasers is presented, based on a model pulse with adaptive shape. By changing a single parameter, this test function can be co...
We first derive an integrable deformed hierarchy of short pulse equation and their Lax representation. Then we concentrated on the solution of integrable deformed short pulse equation (IDSPE).
In this Letter, we explain a well-known but little understood effect in Laser Physics: when a two-level atom, initially in the ground state, is subjected to a 1/ cosh(t) laser pulse, it remains in th...
We study the dynamics of two symmetrically coupled populations of leaky integrate-and-fire neurons characterized by an excitatory coupling. Upon varying the coupling strength, we find symmetry-breakin...
Orthogonal Frequency Division Multiplexing (OFDM) is an attractive modulation and multiple access techniques for channels with a nonflat frequency response, as it saves the need for complex equalizers...
In the present paper, we propose integrable semi-discrete and full-discrete analogues of the short pulse (SP) equation. The key of the construction is the bilinear forms and determinant structure of s...
A numerical method for finding the solution of nonlinear Volterra-Hammerstein integral equations is proposed. The properties of the hybrid functions which consists of block-pulse functions plus ration...
An Integral Inequality Bounding the Autocorrelation of a Pulse or Sequence at a Known Lag.
We establish the exponential stability of fast travelingpulse solutions to nonlinear singularly perturbed systems ofintegral differential equations arising from neuronal networks. Ithas been proved th...

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