(2+1)维孤子系统的多孤子解和分形结构

周振春; 马松华; 方建平; 任清褒

doi:10.7498/aps.59.7540

摘要

利用投射方程法和变量分离法,得到了(2+1)维非对称 Nizhnik-Novikov-Veselov 系统的新显式精确解. 根据得到的孤波解,构造出了该系统的多孤子和分形孤子.

关键词:

By the projective equation approach and the variable separation method, a series of excitations of the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system is derived. Based on the derived solitary wave excitation, we obtain multi solitons and fractal solitons of the system.

Keywords:

作者及机构信息

1.
丽水学院物理系,丽水 323000

基金项目: 浙江省自然科学基金(批准号: Y6100257,Y6090545), 丽水学院科研基金(批准号:KZ09005),丽水学院青年基金(批准号:QN07015)资助的课题.

Authors and contacts

1.
Department of Physics, Lishui University, Lishui 323000, China

参考文献

[1]	Camassa R, Holm D D 1993 Phys. Rev. Lett. 71 1661
[2]	Tang X Y, Lou S Y, Zhang Y 2002 Phys. Rev. E 66 046601
[3]	Lou S Y 1998 Phys. Rev. Lett. 80 5027
[4]	Boiti M, Leon J J P, Manna M, Pempinelli F 1988 Phys. Lett. A 132 432
[5]	Zhang J F, Zheng C L, Fang J P 2003 Chin. Phys. Lett. 20 448
[6]	Zhu J M, Ma Z Y, Zheng C L 2004 Acta Phys. Sin. 53 3248 (in Chinese) [朱加民、马正义、郑春龙 2004 物理学报 53 3248]
[7]	Hietarinta J 1990 Phys. Lett. A 149 113
[8]	Radha R, Lakshmanan M 1991 Phys. Lett. A 197 7
[9]	Lou S Y 1995 J. Phys. Math. Gen A 28 7227
[10]	Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123
[11]	Zhang J F, Huang W H, Zheng C L 2002 Acta Phys. Sin. 51 2676 (in Chinese) [张解放、黄文华、郑春龙 2002 物理学报 51 2676]
[12]	Zhu J M, Ma Z Y, Zheng C L 2004 Acta Phys. Sin. 53 0483 (in Chinese) [朱加民、马正义、郑春龙 2004 物理学报 53 0483]
[13]	Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[14]	Fang J P, Zheng C L 2005 Chin. Phys. 14 670
[15]	Fang J P, Zheng C L, Zhu J M 2005 Acta Phys. Sin. 54 2990 (in Chinese) [方建平、郑春龙、朱加民 2005 物理学报 54 2990]
[16]	Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华、方建平 2006 物理学报 55 5611]
[17]	Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[18]	Lou S Y 1996 Commun. Theor. 26 487
[19]	Lou S Y, Tang X Y, Li J 2001 Eue. Phys. J. B 22 473
[20]	Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 0620 (in Chinese) [马松华、强继业、方建平 2007 物理学报 56 0620 ]
[21]	Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. 61a 249
[22]	Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos, Solitons and Fractals 40 1352
[23]	Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63a 121
[24]	Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[25]	Zhang D J 2003 Chaos, Solitons and Fractals 18 31
[26]	Zhang D J 2005 Chaos, Solitons and Fractals 23 1333
[27]	Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829
[28]	Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[29]	Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[30]	Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 5887 (in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 5887]
[31]	M Boiti, J J P Leon, M Manan, F Penpinelli 1986 Inverse Problems 2 271
[32]	J Hietarinta 1990 Phys. Lett. A 149 133

施引文献

[1]	Camassa R, Holm D D 1993 Phys. Rev. Lett. 71 1661
[2]	Tang X Y, Lou S Y, Zhang Y 2002 Phys. Rev. E 66 046601
[3]	Lou S Y 1998 Phys. Rev. Lett. 80 5027
[4]	Boiti M, Leon J J P, Manna M, Pempinelli F 1988 Phys. Lett. A 132 432
[5]	Zhang J F, Zheng C L, Fang J P 2003 Chin. Phys. Lett. 20 448
[6]	Zhu J M, Ma Z Y, Zheng C L 2004 Acta Phys. Sin. 53 3248 (in Chinese) [朱加民、马正义、郑春龙 2004 物理学报 53 3248]
[7]	Hietarinta J 1990 Phys. Lett. A 149 113
[8]	Radha R, Lakshmanan M 1991 Phys. Lett. A 197 7
[9]	Lou S Y 1995 J. Phys. Math. Gen A 28 7227
[10]	Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123
[11]	Zhang J F, Huang W H, Zheng C L 2002 Acta Phys. Sin. 51 2676 (in Chinese) [张解放、黄文华、郑春龙 2002 物理学报 51 2676]
[12]	Zhu J M, Ma Z Y, Zheng C L 2004 Acta Phys. Sin. 53 0483 (in Chinese) [朱加民、马正义、郑春龙 2004 物理学报 53 0483]
[13]	Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[14]	Fang J P, Zheng C L 2005 Chin. Phys. 14 670
[15]	Fang J P, Zheng C L, Zhu J M 2005 Acta Phys. Sin. 54 2990 (in Chinese) [方建平、郑春龙、朱加民 2005 物理学报 54 2990]
[16]	Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华、方建平 2006 物理学报 55 5611]
[17]	Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[18]	Lou S Y 1996 Commun. Theor. 26 487
[19]	Lou S Y, Tang X Y, Li J 2001 Eue. Phys. J. B 22 473
[20]	Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 0620 (in Chinese) [马松华、强继业、方建平 2007 物理学报 56 0620 ]
[21]	Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. 61a 249
[22]	Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos, Solitons and Fractals 40 1352
[23]	Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63a 121
[24]	Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[25]	Zhang D J 2003 Chaos, Solitons and Fractals 18 31
[26]	Zhang D J 2005 Chaos, Solitons and Fractals 23 1333
[27]	Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829
[28]	Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[29]	Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[30]	Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 5887 (in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 5887]
[31]	M Boiti, J J P Leon, M Manan, F Penpinelli 1986 Inverse Problems 2 271
[32]	J Hietarinta 1990 Phys. Lett. A 149 133

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(2+1)维孤子系统的多孤子解和分形结构

Multi-soliton solutions and fractal structures in a (2+1)-dimensional soliton system

摘要

Abstract

作者及机构信息

1.
丽水学院物理系,丽水 323000

Authors and contacts

1.
Department of Physics, Lishui University, Lishui 323000, China

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(2+1)维孤子系统的多孤子解和分形结构

Multi-soliton solutions and fractal structures in a (2+1)-dimensional soliton system

摘要

Abstract

作者及机构信息

1. 丽水学院物理系,丽水 323000

Authors and contacts

1. Department of Physics, Lishui University, Lishui 323000, China

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Department of Physics, Lishui University, Lishui 323000, China