ON SOLITARY WARE SOLUTIONS TO A GENERALIZED KdV EQNATION

MA WEN-XIU; ZHOU DE-TANG

doi:10.7498/aps.42.1731

Abstract
The deformation theory, in Ref [5],of travelling wave solutions to a generalized KdV equation is modified. The necessary and sufficient condition for a relevant algebraic equation to possess nonzero real root is presented and thus an error of analyses in Ref. [5] is pointe-dont. Finally an explicit formula of the solitary wave solutions generated by deformetion theory is obtained directly from the generalized KdV equation itselp.
Authors and contacts
MA WEN-XIU,

ZHOU DE-TANG

1.
复旦大学数学研究所,上海200433
References

Cited By

[1]	Ouyang Cheng, Shi Lan-Fang, Lin Wan-Tao, Mo Jia-Qi. Perturbation method of travelling wave solution for (2+1) dimensional disturbed time delay breaking solitary wave equation. Acta Physica Sinica, 2013, 62(17): 170201. doi: 10.7498/aps.62.170201
[2]	Zhang Juan, Zhou Zhi-Gang, Shi Yu-Ren, Yang Hong-Juan, Duan Wen-Shan. The stability of solitay wave solution to a modified Kadomtsev-Petviashvili equation. Acta Physica Sinica, 2012, 61(13): 130401. doi: 10.7498/aps.61.130401
[3]	Liang Li-Wei, Li Xing-Dong, Li Yu-Xia. The extended F-expansion method and new exact solutions of the generalized KdV equation. Acta Physica Sinica, 2009, 58(4): 2159-2163. doi: 10.7498/aps.58.2159
[4]	Mo Jia-Qi, Zhang Wei-Jiang, He Ming. The solitary wave approximate solution of strongly nonlinear evolution equations. Acta Physica Sinica, 2007, 56(4): 1843-1846. doi: 10.7498/aps.56.1843
[5]	Mao Jie-Jian, Yang Jian-Rong. New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation. Acta Physica Sinica, 2007, 56(9): 5049-5053. doi: 10.7498/aps.56.5049
[6]	Taogetusang, Sirendaoreji. New type of exact solitary wave solutions for dispersive long-wave equation and Benjamin equation. Acta Physica Sinica, 2006, 55(7): 3246-3254. doi: 10.7498/aps.55.3246
[7]	Wang Yue-Yue, Yang Qin, Dai Chao-Qing, Zhang Jie-Fang. Solitary wave solution of Zakharov equation with quantum effect. Acta Physica Sinica, 2006, 55(3): 1029-1034. doi: 10.7498/aps.55.1029
[8]	Mao Jie-Jian, Yang Jian-Rong. New solitary wave-like solution and exact solution of variable coefficient KP equation. Acta Physica Sinica, 2005, 54(11): 4999-5002. doi: 10.7498/aps.54.4999
[9]	Naranmandula, Wunenboyn, Wang Ke-Xie. New solitary wave solutions for nonlinear wave equation with fifth-order stronger nonlinear term. Acta Physica Sinica, 2004, 53(1): 11-14. doi: 10.7498/aps.53.11
[10]	Xu Gui-Qiong, Li Zhi-Bin. Bidirectional solitary wave solutions and soliton solutions for two nonlinear ev olution equations. Acta Physica Sinica, 2003, 52(8): 1848-1857. doi: 10.7498/aps.52.1848
[11]	Guo Guan-Peng, Zhang Jie-Fang. . Acta Physica Sinica, 2002, 51(6): 1159-1162. doi: 10.7498/aps.51.1159
[12]	LI ZHI-BIN, PAN SU-QI. EXACT SOLITARY WAVE AND SOLITON SOLUTIONS OF THE GENERALIZED FIFTH ORDER KdV EQUATION. Acta Physica Sinica, 2001, 50(3): 402-405. doi: 10.7498/aps.50.402
[13]	Lü KE-PU, SHI YU-REN, DUAN WEN-SHAN, ZHAO JIN-BAO. THE SOLITARY WAVE SOLUTIONS TO KdV-BURGERS EQUATION. Acta Physica Sinica, 2001, 50(11): 2073-2076. doi: 10.7498/aps.50.2073
[14]	XU BING-ZHEN, LI YUE-KE, YAN XUN-LING. NEW SOLITARY WAVE SOLUTIONS FOR A CLASS OF FIFTH-ORDER NOLINEAR EVOLUTION EQUATIONS. Acta Physica Sinica, 1998, 47(12): 1946-1951. doi: 10.7498/aps.47.1946
[15]	LOU SEN-YUE. EXTENTED PAINLEV? EXPANSION AND NONSTANDARD TRUNCATION SOLUTIONS OF THE KdV EQUATION. Acta Physica Sinica, 1998, 47(12): 1937-1945. doi: 10.7498/aps.47.1937
[16]	DUAN YI-SHI, YU ZHONG-YUAN, WU ZHEN-SEN. SMALL AMPLITUDE SOLITON SOLUTIONS OF THE COUPLED NONLINEAR SCHR?DINGER EQUATIONS IN BIREFRINGENCE OPTICAL FIBER. Acta Physica Sinica, 1997, 46(12): 2359-2362. doi: 10.7498/aps.46.2359
[17]	FAN EN-GUI, ZHANG HONG-QING. THE SOLITARY WAVE SOLUTIONS FOR A CLASS OF NONLINEAR WAVE EQUATIONS. Acta Physica Sinica, 1997, 46(7): 1254-1258. doi: 10.7498/aps.46.1254
[18]	ZHU ZUO-NONG. SOLITARY WAVE SOLUTIONS TO THE 2N+1 ORDER KdV-TYPE EQUATIONS. Acta Physica Sinica, 1996, 45(11): 1777-1781. doi: 10.7498/aps.45.1777
[19]	ZHU ZUO-NONG. STABILITY OF SOLITARY WAVE FOR THE KdV TYPE EQUATIONAND TRAVELLING WAVE FOR THE KdV-BURGERS TYPE EQUATION. Acta Physica Sinica, 1996, 45(7): 1087-1090. doi: 10.7498/aps.45.1087
[20]	ZHU ZUO-NONG. THE SOLITON SOLUTIONS OF GENERALIZED KdV EQUATION. Acta Physica Sinica, 1992, 41(7): 1057-1062. doi: 10.7498/aps.41.1057

Catalog

Vol. 42, Issue 11 - 1993-06-05

Metrics

Abstract views: 7168
PDF Downloads: 586
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

ON SOLITARY WARE SOLUTIONS TO A GENERALIZED KdV EQNATION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

ON SOLITARY WARE SOLUTIONS TO A GENERALIZED KdV EQNATION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About