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借助 Maple 符号计算软件, 利用投射方程法和变量分离法, 得到了(2+1)维 Bogoyavlenskii-Schiff 系统的新显式精确解. 根据得到的孤波解, 构造出了该系统新颖的局域激发结构.
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关键词:
- 投射方程法 /
- Bogoyavlenskii-Schiff 系统 /
- 精确解 /
- 局域激发
With the help of the symbolic computation system Maple and using the improved projective method and the variable separation method, a series of excitations of the (2+1)-dimensional Bogoyavlenskii-Schiff system is derived. According to the derived solitary wave solution, we obtain some novel localized excitations of the system.-
Keywords:
- projective equation approach /
- Bogoyavlenskii-Schiff system /
- exact solutions /
- localized excitations
[1] Camassa R, Holm D D 1993 Phys. Rev. Lett. 71 1661
[2] Kivshar Y S, Melonmend B A 1989 Rev. Mod. Phys. 61 765
[3] Kadomtsev B B, Petviashvili V I 1970 Sov. Phys. Dokl. 15 539
[4] Davey A, Stewartson K 1974 Proc. Roy. Soc. 338 17
[5] Boiti M, Leon J J P, Manna M, Pempinelli F 1988 Phys. Lett. A 132 432
[6] Zhang D J 2003 Chaos Soliton. Fract. 18 31
[7] Zhang D J 2005 Chaos Soliton. Fract. 23 1333
[8] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829
[9] Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[10] Zhang J F, Zheng C L, Fang J P 2003 Chin. Phys. Lett. 20 448
[11] Lou S Y 1995 J. Phys. A: Math. Gen. 28 7227
[12] Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123
[13] Lou S Y 2000 Phys. Lett. A 277 94
[14] Tang X Y, Liang Z F 2006 Phys. Lett. A 351 398
[15] Ying J P, Lou S Y 2003 Chin. Phys. Lett. 20 1448
[16] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[17] Fang J P, Zheng C L 2005 Chin. Phys. 14 670
[18] Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华, 方建平 2006 55 5611]
[19] 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 56 620]
[20] Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. A 61 249
[21] Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos Soliton. Fract. 40 1352
[22] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. A 63 121
[23] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[24] 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 59 4420]
[25] Yang Z, Ma S H, Fang J P 2011 Chin. Phys. B 20 040301
[26] Wu H Y, Ma S H, Fang J P 2010 Acta Phys. Sin. 59 6719 (in Chinese) [吴红玉, 马松华, 方建平 2010 59 6719]
[27] Bogoyavlenskii O I 1990 Math. USSR. Izv. 34 247
[28] Estvez P G, Hernaez G A 2000 J. Phys. A 33 2131
[29] Zhang H P, Chen Y, Li B 2009 Acta Phys. Sin. 58 7393 (in Chinese) [张焕萍, 陈勇, 李彪 2009 58 7393]
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[1] Camassa R, Holm D D 1993 Phys. Rev. Lett. 71 1661
[2] Kivshar Y S, Melonmend B A 1989 Rev. Mod. Phys. 61 765
[3] Kadomtsev B B, Petviashvili V I 1970 Sov. Phys. Dokl. 15 539
[4] Davey A, Stewartson K 1974 Proc. Roy. Soc. 338 17
[5] Boiti M, Leon J J P, Manna M, Pempinelli F 1988 Phys. Lett. A 132 432
[6] Zhang D J 2003 Chaos Soliton. Fract. 18 31
[7] Zhang D J 2005 Chaos Soliton. Fract. 23 1333
[8] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829
[9] Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[10] Zhang J F, Zheng C L, Fang J P 2003 Chin. Phys. Lett. 20 448
[11] Lou S Y 1995 J. Phys. A: Math. Gen. 28 7227
[12] Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123
[13] Lou S Y 2000 Phys. Lett. A 277 94
[14] Tang X Y, Liang Z F 2006 Phys. Lett. A 351 398
[15] Ying J P, Lou S Y 2003 Chin. Phys. Lett. 20 1448
[16] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[17] Fang J P, Zheng C L 2005 Chin. Phys. 14 670
[18] Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华, 方建平 2006 55 5611]
[19] 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 56 620]
[20] Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. A 61 249
[21] Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos Soliton. Fract. 40 1352
[22] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. A 63 121
[23] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[24] 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 59 4420]
[25] Yang Z, Ma S H, Fang J P 2011 Chin. Phys. B 20 040301
[26] Wu H Y, Ma S H, Fang J P 2010 Acta Phys. Sin. 59 6719 (in Chinese) [吴红玉, 马松华, 方建平 2010 59 6719]
[27] Bogoyavlenskii O I 1990 Math. USSR. Izv. 34 247
[28] Estvez P G, Hernaez G A 2000 J. Phys. A 33 2131
[29] Zhang H P, Chen Y, Li B 2009 Acta Phys. Sin. 58 7393 (in Chinese) [张焕萍, 陈勇, 李彪 2009 58 7393]
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