In this paper, a (2+1)-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed ...In this paper, a (2+1)-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus the complete integrability of this system is confirmed.展开更多
We report a new coherence and interference phenomenon in a V-type system with an external field coupling two upper levels. It is found that the probe gain can be generated even when no probe field is applied to the sy...We report a new coherence and interference phenomenon in a V-type system with an external field coupling two upper levels. It is found that the probe gain can be generated even when no probe field is applied to the system, we attribute this result to the existence of the external field. By comparing with the conventional probe gain, the probe gain without the probe field is enhanced greatly because of the absence of the population inversion term.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos.10735030, 10675065, and 90503006, and PCSIRT (IRT0734)the National Basic Research Programme of China under Grant No.2007CB814800
文摘In this paper, a (2+1)-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus the complete integrability of this system is confirmed.
基金Supported by National Natural Science Foundation of China under Grant Nos.10904015,11004030,and 11074036
文摘We report a new coherence and interference phenomenon in a V-type system with an external field coupling two upper levels. It is found that the probe gain can be generated even when no probe field is applied to the system, we attribute this result to the existence of the external field. By comparing with the conventional probe gain, the probe gain without the probe field is enhanced greatly because of the absence of the population inversion term.