中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2352-2358.doi: 10.1088/1674-1056/18/6/039
• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇 下一篇
赵丽娜1, 林机1, 童子双2
Zhao Li-Na(赵丽娜)a), Tong Zi-Shuang(童子双)b), and Lin Ji(林机)a)†
摘要: The Lie group theoretical method is used to study the equations describing materials with competing quadratic and cubic nonlinearities. The equations share some of the nice properties of soliton equations. From the elliptic functions expansion method, we obtain large families of analytical solutions, in special cases, we have the periodic, kink and solitary solutions of the equations. Furthermore, we investigate the stability of these solutions under the perturbation of amplitude noises by numerical simulation.
中图分类号: (Optical solitons; nonlinear guided waves)