Solutions to the equations describing materials with competing quadratic and cubic nonlinearities

• 来源期刊: 中国物理B（英文版）
• 关键词: competing nonlinearities the elliptic functions expansion soliton numerical simulation
• 年，卷（期）: 2009,（6）
• 页码范围: 2352-2358
• 页数: 7页
• 语种: 英文

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.