Effects of electron temperature on dielectric function and localization of laser beams in underdense collisional plasmas are investigated. Simulation results show that the electron temperature has a strong effect on t...Effects of electron temperature on dielectric function and localization of laser beams in underdense collisional plasmas are investigated. Simulation results show that the electron temperature has a strong effect on the dielectric constant and the laser beam localization. It is observed that due to the influence of the electron temperature, the dielectric function presents some interesting and complicated nonlinear variations, and gives rise to the laser beam lo- calization. Moreover, the amplitudes of the beam width and the beam intensity are subjected to continuously oscillatory variation in the region of localization. In addition, the effects of several parameters on the dielectric function and the beam localization are discussed.展开更多
We analytically and numerically demonstrate the existence of Hermite-Bessel-Gaussian spatial soliton clusters in three-dimensional strongly nonlocal media.It is found that the soliton clusters display the vortex,dipol...We analytically and numerically demonstrate the existence of Hermite-Bessel-Gaussian spatial soliton clusters in three-dimensional strongly nonlocal media.It is found that the soliton clusters display the vortex,dipole azimuthon and quadrupole azimuthon in geometry,and the total number of solitons in the necklaces depends on the quantum number n and m of the Hermite functions and generalized Bessel polynomials.The numerical simulation is basically identical to the analytical solution,and white noise does not lead to collapse of the soliton,which confirms the stability of the soliton waves.The theoretical predictions may give new insights into low-energetic spatial soliton transmission with high fidelity.展开更多
Using the F-expansion method we present analytical matter-wave solutions to Bose–Einstein condensates with two- and three-body interactions through the generalized three-dimensional Gross–Pitaevskii equation with ti...Using the F-expansion method we present analytical matter-wave solutions to Bose–Einstein condensates with two- and three-body interactions through the generalized three-dimensional Gross–Pitaevskii equation with timedependent coefficients, for the periodically time-varying interactions and quadratic potential strength. Such solutions exist under certain conditions, and impose constraints on the functions describing potential strength, nonlinearities, and gain(loss). Various shapes of analytical matter-wave solutions which have important applications of physical interest are studied in details.展开更多
基金Project supported by the Autonomous Innovation Fund,China (Grant Nos.0109012922 and 0109012926)the Youth Foundation of Department of Education of Hubei Province,China (Grant No.Q20101602)
文摘Effects of electron temperature on dielectric function and localization of laser beams in underdense collisional plasmas are investigated. Simulation results show that the electron temperature has a strong effect on the dielectric constant and the laser beam localization. It is observed that due to the influence of the electron temperature, the dielectric function presents some interesting and complicated nonlinear variations, and gives rise to the laser beam lo- calization. Moreover, the amplitudes of the beam width and the beam intensity are subjected to continuously oscillatory variation in the region of localization. In addition, the effects of several parameters on the dielectric function and the beam localization are discussed.
基金Supported by the Fund of Hubei University of Education under Grant No 2009B013the Project of Excellent Teacher Team of Hubei University of Education under Grant No 2012KB302.
文摘We analytically and numerically demonstrate the existence of Hermite-Bessel-Gaussian spatial soliton clusters in three-dimensional strongly nonlocal media.It is found that the soliton clusters display the vortex,dipole azimuthon and quadrupole azimuthon in geometry,and the total number of solitons in the necklaces depends on the quantum number n and m of the Hermite functions and generalized Bessel polynomials.The numerical simulation is basically identical to the analytical solution,and white noise does not lead to collapse of the soliton,which confirms the stability of the soliton waves.The theoretical predictions may give new insights into low-energetic spatial soliton transmission with high fidelity.
基金Supported by the National Natural Science Foundation of China under Grant No.11105057the Foundation of Hubei University of Education under Grant No.2009B013the Project of Excellent Teacher Team of Hubei University of Education under Grant No.2012KB302
文摘Using the F-expansion method we present analytical matter-wave solutions to Bose–Einstein condensates with two- and three-body interactions through the generalized three-dimensional Gross–Pitaevskii equation with timedependent coefficients, for the periodically time-varying interactions and quadratic potential strength. Such solutions exist under certain conditions, and impose constraints on the functions describing potential strength, nonlinearities, and gain(loss). Various shapes of analytical matter-wave solutions which have important applications of physical interest are studied in details.
