讨论Q uan ta le上的同余与Q uan ta le商之间的关系,研究单纯Q uan ta le的性质,给出一类Q uan ta le是单纯Q uan ta le的等价刻画。最后从Q uan ta le商的角度对单纯Q uan ta le进行了研究,得到单纯Q uan ta le的若干特征定理。
We investigate the energy exchange between （3＋1）D colliding spatiotemporal solitons （STSs） in dispersive media with cubic-quintic （CQ） nonlinearity by numerical simulations. Energy exchange between two （3＋1）...We investigate the energy exchange between （3＋1）D colliding spatiotemporal solitons （STSs） in dispersive media with cubic-quintic （CQ） nonlinearity by numerical simulations. Energy exchange between two （3＋1）D head on colliding STSs caused by their phase difference is observed, just as occurring in other optical media. Moreover, energy exchange between two head-on colliding STSs with different speeds is firstly shown in the CQ and saturable media. This phenomenon, we believe, may arouse some interest in the future studies of soliton collision in optical media.展开更多
In this paper, we study the quantic Diophantine equation （1） with elementary geometry method, therefore all positive integer solutions of the equation （1） are obtained, and existence of Heron triangle whose median...In this paper, we study the quantic Diophantine equation （1） with elementary geometry method, therefore all positive integer solutions of the equation （1） are obtained, and existence of Heron triangle whose median lengths are all positive integer are discussed here.展开更多
文摘讨论Q uan ta le上的同余与Q uan ta le商之间的关系,研究单纯Q uan ta le的性质,给出一类Q uan ta le是单纯Q uan ta le的等价刻画。最后从Q uan ta le商的角度对单纯Q uan ta le进行了研究,得到单纯Q uan ta le的若干特征定理。
基金Project supported by the Key Project of Hunan Provincial Educational Department of China(Grant No04A058)
文摘We investigate the energy exchange between （3＋1）D colliding spatiotemporal solitons （STSs） in dispersive media with cubic-quintic （CQ） nonlinearity by numerical simulations. Energy exchange between two （3＋1）D head on colliding STSs caused by their phase difference is observed, just as occurring in other optical media. Moreover, energy exchange between two head-on colliding STSs with different speeds is firstly shown in the CQ and saturable media. This phenomenon, we believe, may arouse some interest in the future studies of soliton collision in optical media.
基金Foundation item: Supported by the Natural Science Foundation of China(10271104)Supported by the Natural Science Foundation of Education Department of Sichuan Province(2004B25)
文摘In this paper, we study the quantic Diophantine equation （1） with elementary geometry method, therefore all positive integer solutions of the equation （1） are obtained, and existence of Heron triangle whose median lengths are all positive integer are discussed here.
