Based on homogeneous balance method,soliton solutions to a generalized nonlinear Schrodinger equation (NLSE) with varying coefEcients have been gotten.Our results indicate that a new family of vortex or petal-like spa...Based on homogeneous balance method,soliton solutions to a generalized nonlinear Schrodinger equation (NLSE) with varying coefEcients have been gotten.Our results indicate that a new family of vortex or petal-like spatial solitons can be formed in the Kerr nonlinear media in the cylindrical symmetric geometry.It is shown by numerical simulation that these soliton profiles are stable.展开更多
The (1+1)-dimensional F-expansion technique and the homogeneous nonlinear balance principle havebeen generalized and applied for solving exact solutions to a general (3+1)-dimensional nonlinear Schrodinger equation(NL...The (1+1)-dimensional F-expansion technique and the homogeneous nonlinear balance principle havebeen generalized and applied for solving exact solutions to a general (3+1)-dimensional nonlinear Schrodinger equation(NLSE) with varying coefficients and a harmonica potential. We found that there exist two kinds of soliton solutions.The evolution features of exact solutions have been numerically studied. The (3+1)D soliton solutions may help us tounderstand the nonlinear wave propagation in the nonlinear media such as classical optical waves and the matter wavesof the Bose-Einstein condensates.展开更多
Based on the new progenitor stars model,the influence of ion screening is investigated.The simulationresults show that ion screening has weak perturbation effects to the leptons in type-Ⅱ supernova explosion.Ion scre...Based on the new progenitor stars model,the influence of ion screening is investigated.The simulationresults show that ion screening has weak perturbation effects to the leptons in type-Ⅱ supernova explosion.Ion screeningdecreases slightly the fraction of leptons and prolongs slightly the shock propagation time.Moreover,simulation resultsare shown that ion screening increases the total energy loss and reduces the shock energy,eventually decreasing ofexplosion energy and becomes a negative factor to supernova explosion.In addition,comparison of slight perturbatedvariation of ion screening to leptons,but simulation results show that ion screening affects obviously explosion energyof type-Ⅱ supernova,hence,it can also confirm that the variation of leptons is very sensitive to energy in supernovaexplosion.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
An exact self-similar solution to a （3＋l）-dimensional nonlinear Schrodinger equation with gain in the BesselHermite lattice is obtained analytically. The stability of the analytical solution is confirmed by using n...An exact self-similar solution to a （3＋l）-dimensional nonlinear Schrodinger equation with gain in the BesselHermite lattice is obtained analytically. The stability of the analytical solution is confirmed by using numerical simulation. It is shown that the light bullet has a stable ellipsoid or vortex profile and a linear spatiotemporal chirp.展开更多
基金Supported by the Xianning University Foundation of Hubei Province under Grant No.2010CDB05103Xianning University Foundation under Grant No.BK001
文摘Based on homogeneous balance method,soliton solutions to a generalized nonlinear Schrodinger equation (NLSE) with varying coefEcients have been gotten.Our results indicate that a new family of vortex or petal-like spatial solitons can be formed in the Kerr nonlinear media in the cylindrical symmetric geometry.It is shown by numerical simulation that these soliton profiles are stable.
基金Supported by National Science Foundation of China under Grant No. 2006CB921605
文摘The (1+1)-dimensional F-expansion technique and the homogeneous nonlinear balance principle havebeen generalized and applied for solving exact solutions to a general (3+1)-dimensional nonlinear Schrodinger equation(NLSE) with varying coefficients and a harmonica potential. We found that there exist two kinds of soliton solutions.The evolution features of exact solutions have been numerically studied. The (3+1)D soliton solutions may help us tounderstand the nonlinear wave propagation in the nonlinear media such as classical optical waves and the matter wavesof the Bose-Einstein condensates.
文摘Based on the new progenitor stars model,the influence of ion screening is investigated.The simulationresults show that ion screening has weak perturbation effects to the leptons in type-Ⅱ supernova explosion.Ion screeningdecreases slightly the fraction of leptons and prolongs slightly the shock propagation time.Moreover,simulation resultsare shown that ion screening increases the total energy loss and reduces the shock energy,eventually decreasing ofexplosion energy and becomes a negative factor to supernova explosion.In addition,comparison of slight perturbatedvariation of ion screening to leptons,but simulation results show that ion screening affects obviously explosion energyof type-Ⅱ supernova,hence,it can also confirm that the variation of leptons is very sensitive to energy in supernovaexplosion.
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 Basic Research Program of China(Grant No.2009CB921605)
文摘An exact self-similar solution to a （3＋l）-dimensional nonlinear Schrodinger equation with gain in the BesselHermite lattice is obtained analytically. The stability of the analytical solution is confirmed by using numerical simulation. It is shown that the light bullet has a stable ellipsoid or vortex profile and a linear spatiotemporal chirp.
