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/G展开法求ZS方程的精确解

, PP. 684-689

Keywords: 非线性方程,改进的G/G展开法,ZS方程,孤立波解,周期波解

Full-Text   Cite this paper   Add to My Lib

Abstract:

应用改进的G/G展开法构造出Zhiber-Shabat(ZS)方程的20组精确解,这些解的类型主要包含双曲函数通解、三角函数通解和有理函数通解三种形式。对解的性质进行了相应分析,当对双曲函数通解中的参数取特殊值时,可以得到孤立波解。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解。实践证明,应用改进的G/G'展开法能够得到方程一些新的精确解,扩大了解的范围。

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]. 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) [5] 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) [6] 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) [7] Ma Yulan,Li Bangqing,Sun Jianzhi.New application of -expansion method to high-dimensional nonlinear physical equations[J].Acta Physica Sinica(物理学报),2009,58(11):7402-7409(in Chinese) [8] Li Bangqing, Ma Yulan,Xu Meiping. -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) [9] Pang Jing,Jin Linhua,Ying Xiaomei.Solving generalized Burgers equation with variable coefficients by -expansion method [J].Chinese Journal of Quantum Electronics(量子电子学报),2011,28(6):674-681 (in Chinese) [10] Pang Jing, Bian Chunquan,Chao Lu.New auxiliary equation method for solving the KDV euqation[J].Applied Mathematics Mechanics(应用数学与力学),2010,31(7):884-890(in Chinese)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133