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Averaging for Solitons with Nonlinearity Management
Average method of nonlinear schrodinger equation the soliton periodic variation nonlinear coefficient and condensate
2014/12/29
We develop an averaging method for solitons of the nonlinear Schrödinger equation with a periodically varying nonlinearity coefficient, which is used to effectively describe solitons in Bose-Eins...
Modulational Instability in Bose–Einstein Condensates under Feshbach Resonance Management
Coupled nonlinear schrodinger equation instability condensate the stability of linear equation
2014/12/29
We investigate the modulational instability of nonlinear Schrödinger equations with periodic variation of their coefficients. In particular, we focus on the case of the recently proposed, experim...
Motion of discrete solitons assisted by nonlinearity management
Nonlinear coefficient of the discrete nonlinear schrodinger equation the soliton lattice the amplitude
2014/12/25
We demonstrate that time-periodic modulation of the nonlinearity coefficient in the discrete nonlinear Schrödinger equation strongly facilitates creation of traveling solitons in the lattice. We ...
Nonlinearity management in higher dimensions
Nonlinear the nonlinear schrodinger equation the schrodinger equation
2014/12/25
In the present paper, we revisit nonlinearity management of the time-periodic nonlinear Schrödinger equation and the related averaging procedure. By means of rigorous estimates, we show that the ...
Nonlinearity Management in Optics: Experiment, Theory, and Simulation
Kerr nonlinear femtosecond pulse optical glass air
2014/12/25
We conduct an experimental investigation of nonlinearity management in optics using femtosecond pulses and layered Kerr media consisting of glass and air. By examining the propagation properties over ...
Averaging of nonlinearity management with dissipation
Optics atomic physics nonlinear partial differential equation the dynamic model of the nonlinear schrodinger
2014/12/24
Motivated by recent experiments in optics and atomic physics, we derive an averaged nonlinear partial differential equation describing the dynamics of the complex field in a nonlinear Schrödinger...
Optimal Policies Search for Sensor Management
Sensor(s) Management Partially Observable Markov Decision Process Stochastic Gradient Estimation AESA Radar
2010/3/19
This paper introduces a new approach to solve
sensor management problems. Classically sensor management
problems can be well formalized as Partially-Observed Markov
Decision Processes (POMPD). The ...