Solutions to the equations describing materials with competing quadratic and cubic nonlinearities
Zhao Li-Na(赵丽娜)a), Tong Zi-Shuang(童子双)b), and Lin Ji(林机)a)†
a Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; b Normal School, Jinhua College of Profession and Technology, Jinhua 321017, China
Abstract 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.
Received: 20 August 2008
Revised: 12 January 2009
Accepted manuscript online:
(Other nonlinear optical materials; photorefractive and semiconductor materials)
Fund: Project supported by the National
Natural Science Foundation of
China (Grant Nos 10575087 and 10875106).
Cite this article:
Zhao Li-Na(赵丽娜), Tong Zi-Shuang(童子双), and Lin Ji(林机) Solutions to the equations describing materials with competing quadratic and cubic nonlinearities 2009 Chin. Phys. B 18 2352
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
