New exact solutions of (3+1)-dimensional Jimbo-Miwa system

doi:10.1088/1674-1056/22/5/050510

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 50510-050510.doi: 10.1088/1674-1056/22/5/050510

New exact solutions of (3+1)-dimensional Jimbo-Miwa system

陈元明, 马松华, 马正义

College of Sciences, Lishui University, Lishui 323000, China

收稿日期:2012-12-03 修回日期:2012-12-26 出版日期:2013-04-01 发布日期:2013-04-01
基金资助:
Project supported by the Scientific Research Foundation of Lishui University, China (Grant No. KZ201110).

New exact solutions of (3+1)-dimensional Jimbo-Miwa system

Chen Yuan-Ming (陈元明), Ma Song-Hua (马松华), Ma Zheng-Yi (马正义)

College of Sciences, Lishui University, Lishui 323000, China

Received:2012-12-03 Revised:2012-12-26 Online:2013-04-01 Published:2013-04-01
Contact: Chen Yuan-Ming E-mail:chenyuanming98@163.com
Supported by:
Project supported by the Scientific Research Foundation of Lishui University, China (Grant No. KZ201110).

摘要/Abstract

摘要： By using the (G'/G)-expansion method and the variable separation method, a new family of exact solutions of the (3+1)-dimensional Jimbo-Miwa system is obtained. Based on the derived solitary wave solutions, we obtain some special localized excitations and study the interactions between two solitary waves of the system.

关键词: (3+1)-dimensional Jimbo-Miwa system, (G'/G)-expansion method, exact solutions, interactions between two solitary waves

Abstract: By using the (G'/G)-expansion method and the variable separation method, a new family of exact solutions of the (3+1)-dimensional Jimbo-Miwa system is obtained. Based on the derived solitary wave solutions, we obtain some special localized excitations and study the interactions between two solitary waves of the system.

Key words: (3+1)-dimensional Jimbo-Miwa system, (G'/G)-expansion method, exact solutions, interactions between two solitary waves

中图分类号: (Solitons)

05.45.Yv

03.65.Ge (Solutions of wave equations: bound states)

陈元明, 马松华, 马正义. New exact solutions of (3+1)-dimensional Jimbo-Miwa system[J]. 中国物理B, 2013, 22(5): 50510-050510.

Chen Yuan-Ming (陈元明), Ma Song-Hua (马松华), Ma Zheng-Yi (马正义). New exact solutions of (3+1)-dimensional Jimbo-Miwa system[J]. Chin. Phys. B, 2013, 22(5): 50510-050510.

参考文献 32

[1]	Lou S Y and Tang X Y 2002 Chin. Phys. Lett. 19 769
[2]	Lou S Y and Hu X B 1997 J. Math. Phys. 38 6401
[3]	Tang X Y and Lou S Y 2002 Phys. Rev. E 66 046601
[4]	Wang S, Tang X Y and Lou S Y 2004 Chaos Soliton. Fract. 21 231
[5]	Lou S Y 1990 Phys. Lett. A 151 133
[6]	Tang X Y, Lin J and Lou S Y 2001 Commun. Theor. Phys. 35 399
[7]	Lou S Y and Tang X Y 2001 Chin. Phys. 10 897
[8]	Lou S Y, Tang X Y and Lin J 2000 J. Math. Phys. 41 8286
[9]	Ma S H and Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese)
[10]	Chen Y M, Ma S H and Ma Z Y 2012 Chin. Phys. B 21 050510
[11]	Ma Z Y and Ma S H 2012 Chin. Phys. B 21 030507
[12]	Ma S H, Qiang J Y and Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese)
[13]	Ma S H, Fang J P and Zhu H P 2007 Acta Phy. Sin. 56 4319 (in Chinese)
[14]	Zhang S L, Zhu X N, Wang Y M and Lou S Y 2008 Commun. Theor. Phys. 49 829
[15]	Zhang D J 2003 Chaos Soliton. Fract. 18 31
[16]	Zheng C L and Chen L Q 2005 Chaos Soliton. Fract. 24 1347
[17]	Wang H and Li B 2011 Chin. Phys. B 20 040203
[18]	Bekir A 2008 Phys. Lett. A 372 3400
[19]	Wang M L, Li X Z and Zhang J L 2008 Phys. Lett. A 372 417
[20]	Zhang S and Tong J L 2008 Phys. Lett. A 372 2254
[21]	Zhang J, Wei X L and Lu Y J 2008 Phys. Lett. A 372 3653
[22]	Zayed E M Z and Gepreel K A 2009 J. Math. Phys. 50 013502
[23]	Li B Q, Ma Y L, Wang C, Xu M P and Li Y 2011 Acta Phys. Sin. 60 060203 (in Chinese)
[24]	Li B Q, Ma Y L and Xu M P 2010 Acta Phys. Sin. 59 1409 (in Chinese)
[25]	Chen Y M and Ma S H 2012 Appl. Math. 3 813
[26]	Ma S H, Fang J P, Hong B H and Zheng C L 2008 Commun. Theor. Phys. 49 1245
[27]	Fang J P, Ren Q B and Zheng C L 2005 Z. Naturforsch 60a 245
[28]	Fang J P and Zheng C L 2005 Chin. Phys. 14 669
[29]	Jimbo M and Miwa T 1983 Publ. Res. Inst. Math. 19 943
[30]	Dorrizz B, Grammaticos B, Ramani A and Winternitz P 1986 J. Math. Phys. 27 2848
[31]	Weiss J, Tabor M and Carnavale G 1983 J. Math. Phys. 24 522
[32]	Bai C L and Zhao H 2004 Commun. Theor. Phys. 41 875

New exact solutions of (3+1)-dimensional Jimbo-Miwa system

New exact solutions of (3+1)-dimensional Jimbo-Miwa system

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