Department of Mathematics, Beijing Jiao Tong University, Beijing 100044, China.
Chaos. 2013 Mar;23(1):013122. doi: 10.1063/1.4790827.
In this paper, the nonautonomous Lenells-Fokas (LF) model is studied with the bilinear method and symbolic computation. Such analytical solutions of the nonautonomous LF model as one-soliton, two-soliton, and earthwormons are derived. Nonautonomous characteristics are then symbolically and graphically investigated, and it is finally found that the soliton velocity is time-dependent, and there exist soliton accelerating and decelerating motions. Further, two necessary conditions for the occurrence of earthwormon acceleration and deceleration (and their alternation) are pointed out.
本文采用双线性方法和符号计算研究了非自治 Lenells-Fokas（LF）模型。推导出了非自治 LF 模型的一类解析解，如单孤子、双孤子和蚓状孤子。然后符号和图形地研究了非自治特性，最终发现孤子速度是时变的，存在孤子加速和减速运动。此外，还指出了蚓状孤子加速和减速（及其交替）发生的两个必要条件。
