The periodic solutions for coupled integrable dispersionless equations

doi:10.1088/1674-1056/20/4/040202

Abstract By using the Jacobi elliptic-function method, this paper obtains the periodic solutions for coupled integrable dispersionless equations. The periodic solutions include some kink and anti-kink solitons.

Keywords: periodic solutions coupled integrable dispersionless equations Jacobi elliptic-function method

Received: 02 September 2010
Revised: 25 November 2010
Accepted manuscript online:

PACS:	02.30.Ik	(Integrable systems)
	04.20.Jb	(Exact solutions)
	05.45.Yv	(Solitons)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 40975028 and 40805022).

Cite this article:

Liu Shi-Kuo(刘式适),Zhao Qiang(赵强),and Liu Shi-Da(刘式达) The periodic solutions for coupled integrable dispersionless equations 2011 Chin. Phys. B 20 040202

[1]	Konno K and Oono H 1994 J. Phys. Soc. Jpn. 63 377
[2]	Konno K and Kakuhata H 1995 J. Phys. Soc. Jpn. 64 2707
[3]	Kotlyarov V P 1994 J. Phys. Soc. Jpn. 63 3535
[4]	Banerjee B 1995 J. Phys. Soc. Jpn. 64 406
[5]	Kakuhata H and Konno K 1996 J. Phys. Soc. Jpn. 65 1
[6]	Kakuhata H and Konno K 1996 J. Phys. Soc. Jpn. 65 340
[7]	Naranmandula, Bao G and Tubuxin 2007 Commun. Theor. Phys. 47 282
[8]	Naranmandula, Han Y C and Mandafu 2009 Commun. Theor. Phys. 51 1037
[9]	Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Phys. Lett. A 289 69
[10]	Fu Z T, Liu S K, Liu S D and Zhao Q 2001 Phys. Lett. A 290 72
[11]	Liu S K and Liu S D 2000 Nonlinear Equations in Physics (Beijing: Peking University Press)

[1]	Complex dynamics analysis of impulsively coupled Duffing oscillators with ring structure Jiang Hai-Bo (姜海波), Zhang Li-Ping (张丽萍), Yu Jian-Jiang (于建江). Chin. Phys. B, 2015, 24(2): 020502.
[2]	Bifurcation analysis of the logistic map via two periodic impulsive forces Jiang Hai-Bo (姜海波), Li Tao (李涛), Zeng Xiao-Liang (曾小亮), Zhang Li-Ping (张丽萍). Chin. Phys. B, 2014, 23(1): 010501.
[3]	Discrete doubly periodic and solitary wave solutions for the semi-discrete coupled mKdV equations Wu Xiao-Fei(吴晓飞), Zhu Jia-Min(朱加民), and Ma Zheng-Yi(马正义). Chin. Phys. B, 2007, 16(8): 2159-2166.
[4]	Construction of doubly-periodic solutions to nonlinear partial differential equations using improved Jacobi elliptic function expansion method and symbolic computation Zhao Xue-Qin(赵雪芹), Zhi Hong-Yan(智红燕), and Zhang Hong-Qing(张鸿庆). Chin. Phys. B, 2006, 15(10): 2202-2209.
[5]	Extended Jacobi elliptic function method and its applications to (2+1)﹣dimensional dispersive long-wave equation Chen Yong (陈勇), Li Biao(李彪), and Zhang Hong-Qing. Chin. Phys. B, 2004, 13(1): 5-10.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

The periodic solutions for coupled integrable dispersionless equations

Cite this article:

Online attention