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...

mBBM方程和Vakhneoko方程的显式精确解

, PP. 683-687

Keywords: 非线性方程,试探函数方法,mBBM方程,Vakhneoko方程,精确解

Full-Text   Cite this paper   Add to My Lib

Abstract:

应用试探函数方法求解了mBBM方程和Vakhneoko方程.通过引入试探函数,把难于求解的非线性偏微分方程化为易于求解的代数方程,然后用待定系数法确定相应的常数,从而简洁地求得了方程的精确解。

References

[1]  Ablowitz M J , Clarkson P A , Soliton , Nonlinear Evolution Equations and Inverse Scattering [M]. New York: Cambridge University Press , 1991.?
[2]  Hasegawa A , Optical Solitons in Fibers [M]. Berlin: Springer , 1989.?
[3]  Zheng Bin , New soliton solutions to 2+1 dimensional breaking soliton equation [J]. Chinese Journal of Quantum Electronics (量子电子学报) , 2006 , 23(4): 451-455 (in Chinese).?
[4]  Tian Guichen , Liu Xiqiang , Exact solutions of the general variable coefficient KdV equation with external force term [J]. Chinese Journal of Quantum Electronics (量子电子学报) , 2005 , 22(3): 339-343 (in Chinese).?
[5]  Taogetusang , Sirendaoerji , Jacobi-like elliptic function exact solutions of (3+1)-dimensional Zakharov-Kuznetsov equation [J]. Chinese Journal of Quantum Electronics (量子电子学报) , 2010 , 27(1): 6-14 (in Chinese).?
[6]  Taogetusang , Sirendaoerji , New solitary wave solutions of the combined KdV equation with the variable coefficients [J]. Chinese Journal of Quantum Electronics (量子电子学报) , 2009 , 26(2): 148-154 (in Chinese).?
[7]  Li Bangqing , Ma Yulan , Xu Meiping , (G′/G)-expansion method and novel fractal structures for high-dimensional nonlinear physical equation [J]. Acta Physica Sinica (物理学报) , 2010 , 59(3): 1409-1415 (in Chinese).?
[8]  Xie Yuanxi , Tang Jiashi , New solitary wave solutions to the KdV-Burgers equation [J]. International Journal of Theoretical Physics , 2005 , 44(3): 304-312.?
[9]  Xie Yuanxi , Tang Jiashi , A simple fast method in finding the analytical solutions of a class of nonlinear partial differential equations [J]. Acta Physica Sinica (物理学报) , 2004 , 53(9): 2828-2830 (in Chinese).?
[10]  Liu Shikuo , Fu Zuntao , Liu Shida , Zhao Qiang , A simple fast method in finding particular solutions of some nonlinear PDE [J]. Applied Mathematics and Mechanics , 2001 , 22(3): 326-331.?
[11]  Benjamin T B , Bona J L , Mahony J J , Model equations for long waves in nonlinear dispersive systems [J]. Philosophical Transactions for the Royal Society of London: Series A , 1972 , 272: 47-78.?
[12]  Vakhnenko V O , Parkes E J , The two loop soliton solution of the Vakhnenko equation [J]. Nonlinearity , 1998 , 11(6): 1457-1464.
[13]  Tso Taicheng , Existence of Solutions of the Modified Benjamin-Bone-Mahony Equation [J]. Chinese Journal of Mathematics , 1996 , 24(4): 327-336.?
[14]  Vakhnenko V O , Parkes E J , The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method [J]. Chaos, Soliton and Fractals , 2002 , 13(9): 1819-1836. [15] Yusufoglu E , Bekir A , The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations [J]. Chaos, Soliton and Fractals , 2008 , 38(4): 1126-1133.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133