In a recent article [Commun. Theor. Phys. (Beijing, China) 47 (2007) 270], Cao et al. gave some nontrivial solutions of a Riccati equation by using symbolic and algebra computation. They took these solutions, whic...In a recent article [Commun. Theor. Phys. (Beijing, China) 47 (2007) 270], Cao et al. gave some nontrivial solutions of a Riccati equation by using symbolic and algebra computation. They took these solutions, which are in the form of q-deformed hyperbolic and triangular functions as new solutions. In this comment, we will show that these solutions are just the special cases of some known solutions of the Riccati equation and thus they are not new solutions.展开更多
In this paper, some solutions of a generalized Riccati equation are investigated, which are given in the recent articles [Chaos, Solitons & Fractals 24 (2005) 257; Phys. Lett. A 336 (2005) 463], and the relations...In this paper, some solutions of a generalized Riccati equation are investigated, which are given in the recent articles [Chaos, Solitons & Fractals 24 (2005) 257; Phys. Lett. A 336 (2005) 463], and the relationship among the solutions is revealed.展开更多
基金supported by National Natural Science Foundation of China under Grant No.10671172the Natural Science Foundation of Jiangsu Province under Grant No.BK2006064
文摘In a recent article [Commun. Theor. Phys. (Beijing, China) 47 (2007) 270], Cao et al. gave some nontrivial solutions of a Riccati equation by using symbolic and algebra computation. They took these solutions, which are in the form of q-deformed hyperbolic and triangular functions as new solutions. In this comment, we will show that these solutions are just the special cases of some known solutions of the Riccati equation and thus they are not new solutions.
基金The project supported by the Natural Science Foundation of Jiangsu Province of China under Grant No. BK2006064
文摘In this paper, some solutions of a generalized Riccati equation are investigated, which are given in the recent articles [Chaos, Solitons & Fractals 24 (2005) 257; Phys. Lett. A 336 (2005) 463], and the relationship among the solutions is revealed.