Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation

doi:10.1088/1674-1056/21/11/110507

中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110507-110507.doi: 10.1088/1674-1056/21/11/110507

Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation

陈未路, 张雯婷, 张立溥, 戴朝卿

School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an 311300, China

收稿日期:2012-05-02 修回日期:2012-05-28 出版日期:2012-10-01 发布日期:2012-10-01
基金资助:
Supported by the National Natural Science Foundation of China (Grant No. 11005092), the Program for Innovative Research Team of Young Teachers, China (Grant No. 2009RC01), the Undergraduate Innovative Base of Zhejiang A & F University, China, and the Zhejiang Province Undergraduate Scientific and Technological Innovation Project, China (Grant No. 2012R412018).

Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation

Chen Wei-Lu (陈未路), Zhang Wen-Ting (张雯婷), Zhang Li-Pu (张立溥), Dai Chao-Qing (戴朝卿 )

School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an 311300, China

Received:2012-05-02 Revised:2012-05-28 Online:2012-10-01 Published:2012-10-01
Contact: Dai Chao-Qing E-mail:dcq424@126.com
Supported by:
Supported by the National Natural Science Foundation of China (Grant No. 11005092), the Program for Innovative Research Team of Young Teachers, China (Grant No. 2009RC01), the Undergraduate Innovative Base of Zhejiang A & F University, China, and the Zhejiang Province Undergraduate Scientific and Technological Innovation Project, China (Grant No. 2012R412018).

摘要/Abstract

摘要： With the help of a modified mapping method, we obtain two kinds of variable separation solutions with two arbitrary functions for the (2+1)-dimensional dispersive long wave equation. When selecting appropriate multi-valued functions in the variable separation solution, we investigate the interactions among special multi-dromions, dromion-like multi-peakons, and dromion-like multi-semifoldons, which all demonstrate non-completely elastic properties.

关键词: modified mapping method, dispersive long wave equation, variable separation solution, exotic interaction between special solitons

Abstract: With the help of a modified mapping method, we obtain two kinds of variable separation solutions with two arbitrary functions for the (2+1)-dimensional dispersive long wave equation. When selecting appropriate multi-valued functions in the variable separation solution, we investigate the interactions among special multi-dromions, dromion-like multi-peakons, and dromion-like multi-semifoldons, which all demonstrate non-completely elastic properties.

Key words: modified mapping method, dispersive long wave equation, variable separation solution, exotic interaction between special solitons

中图分类号: (Solitons)

05.45.Yv

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

陈未路, 张雯婷, 张立溥, 戴朝卿 . Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation[J]. 中国物理B, 2012, 21(11): 110507-110507.

Chen Wei-Lu (陈未路), Zhang Wen-Ting (张雯婷), Zhang Li-Pu (张立溥), Dai Chao-Qing (戴朝卿 ). Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation[J]. Chin. Phys. B, 2012, 21(11): 110507-110507.

参考文献 18

[1]	Ma Z Y and Zheng C L 2006 Chin. Phys. 15 45
[2]	Ma S H, Qiang J Y and Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese)
[3]	Ma S H, Fang J P and Zheng C L 2008 Chin. Phys. 17 2767
[4]	Zheng C L, Fang J P and Chen L Q 2004 Z. Naturforsch A 59 912
[5]	Zhu H P, Pan Z H and Zheng C L 2008 Commun. Theor. Phys. 49 1425
[6]	Ma S H and Fang J P 2009 Commun. Theor. Phys. 52 641
[7]	Zhou Z C, Ma S H, Fang J P and Ren Q B 2010 Acta Phys. Sin. 59 7540 (in Chinese)
[8]	Lei J, Ma S H and Fang J P 2011 Acta Phys. Sin. 60 050302 (in Chinese)
[9]	Yang Z, Ma S H and Fang J P 2011 Chin. Phys. B 20 040301
[10]	Dai C Q 2008 Chaos Soliton. Fract. 38 474
[11]	Ma Z Y 2007 Chin. Phys. 16 1848
[12]	Trewick S C, Henshaw T F, Hausinger R P, Lindahl T and Sedgwick B 2002 Nature 419 174
[13]	MacInnis B L and Campenot R B 2002 Science 295 1536
[14]	Boiti M, Leon J J P and Pempinelli F 1987 Inver. Probl. 3 371
[15]	Musette M and Conte R 1994 J. Phys. A 27 3895
[16]	Paquin G and Winternitz P 1990 Phys. D 46 122
[17]	Dai C Q and Ni Y Z 2008 Chaos Soliton. Fract. 37 269
[18]	Huber A 2007 Chaos Soliton. Fract. 34 765

Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation

Non-completely elastic interactions in (2+1)-dimensional dispersive long wave equation

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