Please wait a minute...
Chinese Physics, 2003, Vol. 12(2): 144-148    DOI: 10.1088/1009-1963/12/2/304
GENERAL Prev   Next  

Explicit exact solitary wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms

Zhang Wei-Guo (张卫国)
College of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract  In this paper, we have obtained the bell-type and kink-type solitary wave solutions of the generalized symmetric regularized long-wave equations with high-order nonlinear terms by means of proper transformation and undetermined assumption method.
Keywords:  symmetric regularized long-wave equation      undetermined assumption method      solitary wave solution  
Received:  02 January 2002      Revised:  30 October 2002      Accepted manuscript online: 
PACS:  02.30.Jr (Partial differential equations)  
Fund: Project supported by the Scientific and Technological Foundation of the Education Commission of Shanghai,China (Grant No 2000H03).

Cite this article: 

Zhang Wei-Guo (张卫国) Explicit exact solitary wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms 2003 Chinese Physics 12 144

[1] Exact explicit solitary wave and periodic wave solutions and their dynamical behaviors for the Schamel-Korteweg-de Vries equation
Bin He(何斌) and Qing Meng(蒙清). Chin. Phys. B, 2021, 30(6): 060201.
[2] Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network
Serge Bruno Yamgoué, Guy Roger Deffo, Eric Tala-Tebue, François Beceau Pelap. Chin. Phys. B, 2018, 27(9): 096301.
[3] A novel (G’/G)-expansion method and its application to the Boussinesq equation
Md. Nur Alam, Md. Ali Akbar, Syed Tauseef Mohyud-Din. Chin. Phys. B, 2014, 23(2): 020203.
[4] Nonautonomous solitary-wave solutions of the generalized nonautonomous cubic–quintic nonlinear Schrödinger equation with time- and space-modulated coefficients
He Jun-Rong (何俊荣), Li Hua-Mei (李画眉). Chin. Phys. B, 2013, 22(4): 040310.
[5] Folded localized excitations in the (2+1)-dimensional modified dispersive water-wave system
Lei Yan (雷燕), Ma Song-Hua (马松华), Fang Jian-Ping (方建平). Chin. Phys. B, 2013, 22(1): 010506.
[6] Chaotic solutions of (2+1)-dimensional Broek–Kaup equation with variable coefficients
Yang Zheng(杨征), Ma Song-Hua(马松华), and Fang Jian-Ping(方建平) . Chin. Phys. B, 2011, 20(4): 040301.
[7] Combined periodic wave and solitary wave solutions in two-component Bose–Einstein condensates
Yao Shu-Fang (姚淑芳), Li Qiu-Yan(李秋艳), and Li Zai-Dong(李再东) . Chin. Phys. B, 2011, 20(11): 110307.
[8] Some exact solutions to the inhomogeneous higher-order nonlinear Schr?dinger equation by a direct method
Zhang Huan-Ping(张焕萍), Li Biao(李彪), and Chen Yong(陈勇). Chin. Phys. B, 2010, 19(6): 060302.
[9] 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.
[10] A kind of extended Korteweg--de Vries equation and solitary wave solutions for interfacial waves in a two-fluid system
Yang Hong-Li(杨红丽), Song Jin-Bao(宋金宝), Yang Lian-Gui(杨联贵), and Liu Yong-Jun(刘永军). Chin. Phys. B, 2007, 16(12): 3589-3594.
[11] New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov--Kuzentsov equation
Taogetusang (套格图桑), Sirendaoreji. Chin. Phys. B, 2006, 15(6): 1143-1148.
[12] A hyperbolic function approach to constructing exact solitary wave solutions of the Hybrid lattice and discrete mKdV lattice
Zha Qi-Lao (扎其劳), Sirendaoreji (斯仁道尔吉). Chin. Phys. B, 2006, 15(3): 475-477.
[13] Applications of F-expansion method to the coupled KdV system
Li Bao-An (李保安), Wang Ming-Liang (王明亮). Chin. Phys. B, 2005, 14(9): 1698-1706.
[14] New expansion algorithm of three Riccati equations and its applications in nonlinear mathematical physics equations
Zhi Hong-Yan (智红燕), Zhao Xue-Qin (赵雪芹), Zhang Hong-Qing (张鸿庆). Chin. Phys. B, 2005, 14(7): 1296-1302.
[15] A unified approach in seeking the solitary wave solutions to sine-Gordon type equations
Xie Yuan-Xi (谢元喜), Tang Jia-Shi (唐驾时). Chin. Phys. B, 2005, 14(7): 1303-1306.
No Suggested Reading articles found!