The dust acoustic solitary waves propagating in two different directions in two-dimensional dusty plasma are investigated. In order to study the soliton interactions in multi-dimensional systems, we extend the reducti...The dust acoustic solitary waves propagating in two different directions in two-dimensional dusty plasma are investigated. In order to study the soliton interactions in multi-dimensional systems, we extend the reductive perturbation method and obtain two Kortewe-de Vries equations for nonlinear waves in both the ξ and 77 directions, respectively. The phase shifts after collision of two solitons with arbitrary angle are given. Finally, the solution of na up to O（ε^4） order is obtained.展开更多
By means of the multiple-scale expansion method, the coupled nonlinear Schrgdinger equations without an explicit external potential are obtained in two-dimensional geometry for a self-attractive Bose-Einstein condensa...By means of the multiple-scale expansion method, the coupled nonlinear Schrgdinger equations without an explicit external potential are obtained in two-dimensional geometry for a self-attractive Bose-Einstein condensate composed of different hyperfine states. The modulational instability of two-component condensate is investigated by using a simple technique. Based on the discussion about two typical cases, the explicit expression of the growth rate for a purely growing modulational instability and the optimum stable conditions are given and analysed analytically. The results show that the modulational instability of this two-dimensional system is quite different from that in a one-dimensional system.展开更多
We study the optical bistability for a Bose-Einstein condensate of atoms in a driven optical cavity with a Kerr medium. We find that both the threshold point of optical bistability transition and the width of optical ...We study the optical bistability for a Bose-Einstein condensate of atoms in a driven optical cavity with a Kerr medium. We find that both the threshold point of optical bistability transition and the width of optical bistability hysteresis can be controlled by appropriately adjusting the Kerr interaction between the photons. In particular, we show that the optical bistability will disappear when the Kerr interaction exceeds a critical value.展开更多
This paper investigates the collision between two nonlinear waves with arbitrary angle in two-dimensional nonlinear lattice. By using the extended Poincarge-Lighthill-Kuo perturbation method, it obtains two Korteweg-d...This paper investigates the collision between two nonlinear waves with arbitrary angle in two-dimensional nonlinear lattice. By using the extended Poincarge-Lighthill-Kuo perturbation method, it obtains two Korteweg-de Vries equations for nonlinear waves in both the ζ and η directions, respectively, and derives the analytical phase shifts after the collision of two nonlinear waves. Finally, the solution of u（υ） up to O（ε^3） order is given.展开更多
We study the Rosen-Zener transition （RZT） in a nonlinear system for two-component Bose-Einstein condensates in optical lattices. It is found that the percentage of the components could affect the quantum transition ...We study the Rosen-Zener transition （RZT） in a nonlinear system for two-component Bose-Einstein condensates in optical lattices. It is found that the percentage of the components could affect the quantum transition dramatically. For the component with large percentage it is equivalent that the effect of the nonlinearity is stronger, whereas for the component with small percentage the effect is weaker. We also find that the nonlinearity c11 can affect the quantum transition dramatically. This is similar to that reported from Ref. [14]. Compared with one-component systems, however, the effect of the nonlinearity is decreased due to the two components of the BEGs in optical lattices. Furthermore, the effect of the coupling nonlinearity between two components c12 is studied. The component with large percentage is more affected by the nonlinearity than that with small-percentage component.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 10575082 and 10247008, the Scientific Research Foundation （SRF） for the Returned 0verseas Chinese Scholars （R0CF）, State Education Ministry （SEM）.
文摘The dust acoustic solitary waves propagating in two different directions in two-dimensional dusty plasma are investigated. In order to study the soliton interactions in multi-dimensional systems, we extend the reductive perturbation method and obtain two Kortewe-de Vries equations for nonlinear waves in both the ξ and 77 directions, respectively. The phase shifts after collision of two solitons with arbitrary angle are given. Finally, the solution of na up to O（ε^4） order is obtained.
基金Project supported by the National Natural Science Foundation of China (Grant No 10875098)the Science Foundation of the Northwest Normal University (Grant Nos NWNU-KJCXGC-03-17 and NWNU-KJCXGC-03-48)
文摘By means of the multiple-scale expansion method, the coupled nonlinear Schrgdinger equations without an explicit external potential are obtained in two-dimensional geometry for a self-attractive Bose-Einstein condensate composed of different hyperfine states. The modulational instability of two-component condensate is investigated by using a simple technique. Based on the discussion about two typical cases, the explicit expression of the growth rate for a purely growing modulational instability and the optimum stable conditions are given and analysed analytically. The results show that the modulational instability of this two-dimensional system is quite different from that in a one-dimensional system.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 11065005 and 11105079)the Governor’s Foundation for Science and Education Elites of Guizhou Province, China
文摘We study the optical bistability for a Bose-Einstein condensate of atoms in a driven optical cavity with a Kerr medium. We find that both the threshold point of optical bistability transition and the width of optical bistability hysteresis can be controlled by appropriately adjusting the Kerr interaction between the photons. In particular, we show that the optical bistability will disappear when the Kerr interaction exceeds a critical value.
基金Project supported by the National Natural Science Foundation of China under (Grant Nos 10575082 and 10247008)the Scientific Research Foundation (SRF) for the Returned Overseas Chinese Scholars (ROCF), State Education Ministry (SEM)
文摘This paper investigates the collision between two nonlinear waves with arbitrary angle in two-dimensional nonlinear lattice. By using the extended Poincarge-Lighthill-Kuo perturbation method, it obtains two Korteweg-de Vries equations for nonlinear waves in both the ζ and η directions, respectively, and derives the analytical phase shifts after the collision of two nonlinear waves. Finally, the solution of u（υ） up to O（ε^3） order is given.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10875098 and 10575082, the Natural Science Foundation of Northwest Normal University under Grant No NWNU-KJCXGC-03-17.
文摘We study the Rosen-Zener transition （RZT） in a nonlinear system for two-component Bose-Einstein condensates in optical lattices. It is found that the percentage of the components could affect the quantum transition dramatically. For the component with large percentage it is equivalent that the effect of the nonlinearity is stronger, whereas for the component with small percentage the effect is weaker. We also find that the nonlinearity c11 can affect the quantum transition dramatically. This is similar to that reported from Ref. [14]. Compared with one-component systems, however, the effect of the nonlinearity is decreased due to the two components of the BEGs in optical lattices. Furthermore, the effect of the coupling nonlinearity between two components c12 is studied. The component with large percentage is more affected by the nonlinearity than that with small-percentage component.
