Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Peter Y. P. Chen"'
Autor:
Peter Y. P. Chen
Publikováno v:
Applied Mathematics. 11:146-156
We have used model scaling so that the propagation of light through space could be studied using the well-known nonlinear Schrodinger equation. We have developed a set of numerical procedures to obtain a stable propagating wave so that it could be us
Autor:
Peter Y. P. Chen
Publikováno v:
Applied Mathematics. 10:956-966
We have developed an energy balance equation for the universe. The two system parameters involved in the equation could be “fine-tuned” so that the predicted temperature histories all lead to what is observed in the present cosmic microwave backg
Autor:
Peter Y. P. Chen
Publikováno v:
Applied Mathematics. 10:719-727
We investigate under what conditions transient simulation could be used to integrate backward in time so that the initial field could be recovered from later histories. In this paper we use realistic examples and find that, in long histories, traces
Autor:
Peter Y. P. Chen
Publikováno v:
Applied Mathematics. :927-938
In this paper, we propose to replace the Chebyshev series used in pseudospectral methods with the equivalent Chebyshev economized power series that can be evaluated more rapidly. We keep the rest of the implementation the same as the spectral method
Autor:
Peter Y. P. Chen, Boris A. Malomed
Publikováno v:
Mathematics and Computers in Simulation. 82:1056-1068
The pseudospectral approach is a well-established method for studies of the wave propagation in various settings. In this paper, we report that the implementation of the pseudospectral approach can be simplified if power-series expansions are used. T
Autor:
Boris A. Malomed, Peter Y. P. Chen
Publikováno v:
Optics Communications. 283:1598-1606
We report results of the study of solitons in a system of two nonlinear-Schrodinger (NLS) equations coupled by the XPM interaction, which models the co-propagation of two waves in metamaterials(MMs). The same model applies to photonic crystals (PCs),
Autor:
Peter Y. P. Chen, Boris A. Malomed
Publikováno v:
Optics Communications. 282:3804-3811
We report the results of a systematic analysis of the existence and stability of spatiotemporal (two-dimensional) solitons (STSs) in the model of a planar waveguide with the intrinsic χ ( 2 ) nonlinearity. Fundamental obstacles to the creation of ST
Publikováno v:
Optics Communications. 281:2301-2308
We study the dynamics of two-component solitons in a dispersion-managed (DM) system, built as a periodic concatenation of segments of optical fibers with anomalous and normal group-velocity dispersion (GVD). The model includes, in addition to the usu
Publikováno v:
Optics Communications. 270:151-160
We demonstrate efficacy of shaping Gaussian pulses into dispersion-managed (DM) solitons by dint of a device which includes two fibers with the same group-velocity-dispersion (GVD) coefficients as in the DM system, a frequency-domain filter, and an a
Autor:
Peter Y. P. Chen, Boris A. Malomed
Publikováno v:
Journal of Physics B: Atomic, Molecular and Optical Physics. 39:2803-2813
We consider a model of a matter-wave laser generating a periodic array of solitary-wave pulses. The system, a general version of which was recently proposed in Ref. [5], is composed of two parallel tunnel-coupled cigar-shaped traps (a reservoir and a