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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.
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关键词:
- 投射方程法 /
- (2+1)维非对称 Nizhnik-Novikov-Veselov 系统 /
- 多孤子 /
- 分形孤子
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:
- projective equation approach /
- ANNV system /
- multi solitons /
- fractal solitons
[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
-
[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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