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在符号计算软件Maple的帮助下,利用改进的Riccati方程映射法得到了(2+1)维Zakharov-Kuznetsov方程(ZK)的新显式精确解. 根据得到的解,研究了ZK方程的特殊孤子结构.
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关键词:
- 改进的Riccati方程映射法 /
- Zakharov-Kuznetsov方程 /
- 精确解 /
- 孤子结构
With the help of the symbolic computation system Maple and an improved Riccati equation mapping approach, a series of exact solutions of the (2+1)-dimensional Zakharov-Kuznetsov equation (ZK) is derived. Based on the derived solution, we obtain some special soliton structures.-
Keywords:
- improved Riccati equation mapping approach /
- Zakharov-Kuznetsov equation /
- exact solutions /
- soliton structures
[1] Ma Y L, Li B Q 2010 J. Math. Phys. 51 063512
[2] Hietarinta J 1990 Phys. Lett. A 149 113
[3] Lou S Y 1995 J. Phys. Math. Gen. A 28 7227
[4] Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123
[5] 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 51 2676]
[6] Lou S Y, Tang X Y, Li J 2001 Eue. Phys. J. B 22 473
[7] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829
[8] Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[9] Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑、 斯仁道尔吉 2009 58 2121]
[10] Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 5887 (in Chinese) [套格图桑、 斯仁道尔吉 2009 58 5887]
[11] Ma Y L, Li B Q, Sun J Z 2009 Acta Phys. Sin. 58 7402 (in Chinese) [马玉兰、 李帮庆、 孙践知 2009 58 7402]
[12] Li B Q, Ma Y L, Xu M P 2010 Acta Phys. Sin. 59 1409 (in Chinese) [李帮庆、 马玉兰、 徐美萍 2010 59 1409]
[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. 4 670
[15] 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]
[16] Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华、 方建平 2006 55 5611]
[17] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[18] Huang L, Sun J A, Dou F Q, Duan W S, Liu X X 2007 Acta Phys. Sin. 56 0611 (in Chinese) [黄 磊、 孙建安、 豆福全、 段文山、 刘兴霞 2007 56 0611]
[19] Wang J 2010 Acta Phys. Sin. 59 2924 (in Chinese) [王 静 2010 59 2924]
[20] Maccari A 2004 Chaos, Solitons and Fractals 21 1047
[21] Hu H C 2008 Commun. Theor. Phys. 49 559
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[1] Ma Y L, Li B Q 2010 J. Math. Phys. 51 063512
[2] Hietarinta J 1990 Phys. Lett. A 149 113
[3] Lou S Y 1995 J. Phys. Math. Gen. A 28 7227
[4] Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123
[5] 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 51 2676]
[6] Lou S Y, Tang X Y, Li J 2001 Eue. Phys. J. B 22 473
[7] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829
[8] Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[9] Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑、 斯仁道尔吉 2009 58 2121]
[10] Taogetusang, Sirendaoerji 2009 Acta Phys. Sin. 58 5887 (in Chinese) [套格图桑、 斯仁道尔吉 2009 58 5887]
[11] Ma Y L, Li B Q, Sun J Z 2009 Acta Phys. Sin. 58 7402 (in Chinese) [马玉兰、 李帮庆、 孙践知 2009 58 7402]
[12] Li B Q, Ma Y L, Xu M P 2010 Acta Phys. Sin. 59 1409 (in Chinese) [李帮庆、 马玉兰、 徐美萍 2010 59 1409]
[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. 4 670
[15] 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]
[16] Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华、 方建平 2006 55 5611]
[17] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[18] Huang L, Sun J A, Dou F Q, Duan W S, Liu X X 2007 Acta Phys. Sin. 56 0611 (in Chinese) [黄 磊、 孙建安、 豆福全、 段文山、 刘兴霞 2007 56 0611]
[19] Wang J 2010 Acta Phys. Sin. 59 2924 (in Chinese) [王 静 2010 59 2924]
[20] Maccari A 2004 Chaos, Solitons and Fractals 21 1047
[21] Hu H C 2008 Commun. Theor. Phys. 49 559
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