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By the Riccati equation expansion method and a variable separation method, a series of variable separation solutions of the (2+1)-dimensional dispersive long wave equation is derived. According to the derived solitary wave solution, we obtain some nove complex wave localized structures and study the time evolutions of complex waves.
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Keywords:
- Riccati equation expansion method /
- (2+1)-dimensional dispersive long wave equation /
- variable separation solutions /
- complex wave structures
[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] Hietarinta J 1990 Phys. Lett. A 149 113
[5] Fokas A S 1998 Phys. Lett. A 132 432
[6] Ruan H Y, Chen Y X 2001 Acta Phys. Sin. 50 586 (in Chinese) [阮航宇, 陈一新 2001 物理学报 50 586]
[7] Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[8] Lou S Y 2003 J. Phys. A: Math. Gen. 36 3877
[9] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829
[10] Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[11] Dai C Q, Ni Y Z 2006 Phys. Scripta 74 584
[12] 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]
[13] 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]
[14] Lou S Y, Tang X Y, Li J 2001 Eur. Phys. J. B 22 473
[15] Lou S Y 1995 J. Phys. Math. Gen. A 28 7227
[16] Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123
[17] Lou S Y 1996 Commun. Theor. 26 487
[18] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[19] Boiti M, Leon J J, Manna M, Pempinelli F 1989 Phys. Rev. Lett. A 63 1329
[20] 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]
[21] Ma S H, Wu X H, Fang J P, Zheng C L 2008 Acta Phys. Sin. 57 11 (in Chinese) [马松华, 吴小红, 方建平, 郑春龙 2008 物理学报 57 11]
[22] Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese) [马松华, 强继业, 方建平 2007 物理学报 56 620]
[23] 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]
[24] Fang J P, Zheng C L 2005 Chin. Phys. B 4 670
[25] Ma S H, Fang J P, Ren Q B, Yang Z 2012 Chin. Phys. B 21 050511
[26] Lei Y, Ma S H, Fang J P 2013 Chin. Phys. B 22 010506
[27] Ma S H, Fang J P, Zheng C L 2009 Chaos Soliton. Fract. 40 210
[28] Ma S H, Fang J P, Ren Q B 2010 Acta Phys. Sin. 59 4420 (in Chinese) [马松华, 方建平, 任清褒 2010 物理学报 59 4420]
[29] Ma S H, Fang J P, Wu H Y 2013 Z. Naturforsch 68a 350
[30] Dai C Q, Zhou G Q 2007 Chin. Phys. 16 1201
[31] Ma Z Y, Ma S H 2012 Chin. Phys. B 21 030507
[32] Chen Y M, Ma S H, Ma Z Y 2012 Chin. Phys. B 21 050510
[33] Mei J Q, Zhang H Q 2005 Commun. Theor. Phys. 44 209
[34] Boiti M, Leon J J, Manna M, Pempinelli F 1986 Inverse Problem 2 271
[35] Zhang J F 2002 Commun. Theor. Phys. 37 277
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[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] Hietarinta J 1990 Phys. Lett. A 149 113
[5] Fokas A S 1998 Phys. Lett. A 132 432
[6] Ruan H Y, Chen Y X 2001 Acta Phys. Sin. 50 586 (in Chinese) [阮航宇, 陈一新 2001 物理学报 50 586]
[7] Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[8] Lou S Y 2003 J. Phys. A: Math. Gen. 36 3877
[9] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829
[10] Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[11] Dai C Q, Ni Y Z 2006 Phys. Scripta 74 584
[12] 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]
[13] 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]
[14] Lou S Y, Tang X Y, Li J 2001 Eur. Phys. J. B 22 473
[15] Lou S Y 1995 J. Phys. Math. Gen. A 28 7227
[16] Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123
[17] Lou S Y 1996 Commun. Theor. 26 487
[18] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[19] Boiti M, Leon J J, Manna M, Pempinelli F 1989 Phys. Rev. Lett. A 63 1329
[20] 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]
[21] Ma S H, Wu X H, Fang J P, Zheng C L 2008 Acta Phys. Sin. 57 11 (in Chinese) [马松华, 吴小红, 方建平, 郑春龙 2008 物理学报 57 11]
[22] Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese) [马松华, 强继业, 方建平 2007 物理学报 56 620]
[23] 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]
[24] Fang J P, Zheng C L 2005 Chin. Phys. B 4 670
[25] Ma S H, Fang J P, Ren Q B, Yang Z 2012 Chin. Phys. B 21 050511
[26] Lei Y, Ma S H, Fang J P 2013 Chin. Phys. B 22 010506
[27] Ma S H, Fang J P, Zheng C L 2009 Chaos Soliton. Fract. 40 210
[28] Ma S H, Fang J P, Ren Q B 2010 Acta Phys. Sin. 59 4420 (in Chinese) [马松华, 方建平, 任清褒 2010 物理学报 59 4420]
[29] Ma S H, Fang J P, Wu H Y 2013 Z. Naturforsch 68a 350
[30] Dai C Q, Zhou G Q 2007 Chin. Phys. 16 1201
[31] Ma Z Y, Ma S H 2012 Chin. Phys. B 21 030507
[32] Chen Y M, Ma S H, Ma Z Y 2012 Chin. Phys. B 21 050510
[33] Mei J Q, Zhang H Q 2005 Commun. Theor. Phys. 44 209
[34] Boiti M, Leon J J, Manna M, Pempinelli F 1986 Inverse Problem 2 271
[35] Zhang J F 2002 Commun. Theor. Phys. 37 277
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