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

投递稿件

查看量	下载量

相关文章
更多...

量子电子学报 2009

Camassa-Holm方程的等价变换

, PP. 654-657

邱燕红,田宝单

Keywords: 数学物理,等价变换,直接方法,Camassa-Holm方程,精确解

Full-Text Cite this paper Add to My Lib

Abstract:

利用改进的直接方法得到了一类Camassa-Holm方程的等价变换和对称群定理，建立了方程新解与旧解之间的关系，最后在已有的一些精确解的基础上利用对称群定理得到了Camassa-Holm方程的许多新的显式精确解。

References

[1]	Camassa R, Holm D D, An integrable shallow water equation with peaked solitons, Phys. Rev. Lett. ,71 (1993) ,1661-1664.？
[2]	Constantin A, Existence of permanent and breaking waves for a shallow water equation: a geometric approach, Ann. Inst. Fourier (Grenoble),50 (2000), 321-362.？
[3]	Constantin A, Escher J, Wave breaking for nonlinear nonlocal shallow water equations, Acta Mathematica, 181 (1998), 229-243.？
[4]	Liu Zhengrong, Long Yao. Compacton-like wave and kink-like wave of GCH equation
[5]	[J]. Nonlinear Analysis: RealWorld Applications, 8(2007), 136-155.？
[6]	Qian Tifei, Tang Minying, Peakons and periodic cusp waves in a generalized Camassa–Holm equation, Chaos, Solitons Fractals, 12 (2001),1347-1360.？
[7]	Abdul-Majid Wazwaz. Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa–Holm equations by using new hyperbolic schemes
[8]	[J]. Applied Mathematics and Computation, 182 (2006), 412-424.
[9]	？
[10]	Lou Senyue, Ma Hongcai. Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
[11]	[J]. Journal of Physics A:Mathematical and General, 38(2005),129-137.
[12]	？
[13]	Ma Hongcai. A simple method to generate Lie point symmetry groups of the (3+1)- dimensional Jimbo-Miwa equation
[14]	[J]. Chinese Physics Letters, 22(2005), 554-557.？
[15]	Zheng Bin. New soliton solutions to 2+1 dimensional breaking soliton equation
[16]	[J]. Chinese Journal of Quantum Electronics(量子电子学报), 23(2006), 451-455.

Contact Us

service@oalib.com

WhatsApp +8615387084133