全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

应用改进的G展开法求Zakharov方程的行波解

, PP. 40-45

Keywords: 非线性光学,量子光学,改进的展开法,Zakharov方程,孤立波解

Full-Text   Cite this paper   Add to My Lib

Abstract:

应用改进的展开法构造出Zakharov方程的18组精确解,这些解主要包括双曲函数通解、三角函数通解和有理函数通解三种形式。当对双曲函数通解中的参数取特殊值时,可以得到了孤立波解。当对三角函数通解中的参数取特殊值时,可以得到对应的周期波函数解。实践证明,应用改进的展开法能够得到Zakharov方程一些新的精确解,扩大了解的范围,这种方法对于研究非线性光学和量子光学具有非常广泛的应用意义。

References

[1]  Yang lijuan,Yang Qiongfen,Du Xianyun.New exact solutions of Broer-Kaup-Kupershmidt equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(2):142-146.(in Chinese)
[2]  Wang Ling,Xan Daquan.Homoclinic breather-wave solutions,periodic-wave solutions and kink solitary-wave solutions for CDGKS equations[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(4):417-420. (in Chinese)
[3]  Zhang Yingyuan,Liu Xiqiang,Wang Gangwei.Symmetry reductions and explicit solutions of (2+1)-dimensional nonlinear evolution equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(4):411-416(in Chinese)
[4]  Pang Jing,Jin Linhua,Ying Xiaomei.Solving generalized Burgers equation with variable coefficients by G-expansion method [J].Chinese Journal of Quantum Electronics(量子电子学报),2011,28(6):674-681 (in Chinese)
[5]  Feng Qingjiang,Lei Xuehong.Derivation of Exact Solutions for Nonlinear Evolution Equations with G-expansion Method[J].Mathematica Applicata(应用数学),2013,26(3):538-543.
[6]  . Qiu Chun,Diao Mingjun,Xu Lanlan,et al.A new algebra method for constructing exact solutions of nonlinear evolution equations[J].Chinese Journal of Quantum Electronics(量子电子学报),2011,29(3):279-285. (in Chinese)
[7]  Sun Jian,Narenmandula.Multiple solitary wave solutions of variable coefficient forced Burgers equation and interaction of solitary waves[J].Chinese Journal of Quantum Electronics(量子电子学报),2011,28(1):31-35. (in Chinese)
[8]  Xiao Yafeng,Xue Haili,Zhang Hongqing.New multi-order envelope periodic solutions to cubic nonlinear Schrodinger equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(3):269-278(in Chinese)
[9]  Ma Yulan,Li Bangqing,Sun Jianzhi.New application of G-expansion method to high-dimensional nonlinear physical equations[J].Acta Physica Sinica(物理学报),2009,58(11):7402-7409(in Chinese)
[10]  Li Bangqing, Ma Yulan,Xu Meiping. G-expansion method and novel fractal structures for high-dimensional nonlinear physical equation[J].Acta Physica Sinica(物理学报),2010,59(3):1409-1419(in Chinese)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133