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借助计算机 Maple 软件系统,利用拓展的(G'/G)方法和变量分离方法, 得到(2+1)维破裂孤子方程的精确解. 根据得到的孤立波解, 构造出多 Solitoff 局域结构, 研究了孤子随时间的演化.
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关键词:
- 拓展的(G'/G)方法 /
- 破裂孤子方程 /
- 局域结构 /
- 演化
With the help of the symbolic computation system Maple, an extended G'/G method and a variable separation method, new exact solutions of the (2+1)-dimensional breaking soliton equation are derived. With the derived solitary wave solutions, we obtain multi Solitoff localized structures and study the soliton evolution with time.-
Keywords:
- extended G'/G method /
- breaking soliton equation /
- localized structures /
- evolution
[1] Fan E G, Zhang H Q 1998 Acta Phys. Sin. 47 353 (in Chinese) [范恩贵, 张鸿庆 1998 47 353]
[2] Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 58 695]
[3] Mo J Q 2011 Acta Phys. Sin. 60 090203 (in Chinese) [莫嘉琪 2011 60 090203]
[4] Lou S Y 1996 Commun. Theor. 26 487
[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] Zhang D J 2005 Chaos, Solitons and Fractals 23 1333
[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] Yang Z, Ma S H, Fang J P 2011 Acta Phys. Sin. 60 040508 (in Chinese) [杨征, 马松华, 方建平 2011 60 040508]
[12] Zheng C L, Fang J P, Chen L Q 2005 Acta Phys. Sin. 54 1468 (in Chinese) [郑春龙, 方建平, 陈立群 2005 54 1468]
[13] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[14] Dai C Q, Zhou G Q 2007 Chin. Phys. 16 1201
[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, Hong B H, Zheng C L 2009 Chaos, Solitons and Fractals 40 1352
[18] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63a 121
[19] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[20] Ma Y L, Li B Q 2010 Appl. Math. Comput. 216 2137
[21] Wang M L, Li X Z, Zhang J L 2008 Phys. Lett. A 372 417
[22] Li B Q, Ma Y L 2010 Z. Naturforsch. 65a 518
[23] Ma Y L, Li B Q 2010 J. Math. Phys. 51 063512
[24] 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]
[25] 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]
[26] Zhang J F 20073 Inter. J. Mod. Phys. B 17 4376
[27] Ma S H, Qiang J Y, Fang J P 2007 Commun. Theor. Phys. 48 662
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[1] Fan E G, Zhang H Q 1998 Acta Phys. Sin. 47 353 (in Chinese) [范恩贵, 张鸿庆 1998 47 353]
[2] Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 58 695]
[3] Mo J Q 2011 Acta Phys. Sin. 60 090203 (in Chinese) [莫嘉琪 2011 60 090203]
[4] Lou S Y 1996 Commun. Theor. 26 487
[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] Zhang D J 2005 Chaos, Solitons and Fractals 23 1333
[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] Yang Z, Ma S H, Fang J P 2011 Acta Phys. Sin. 60 040508 (in Chinese) [杨征, 马松华, 方建平 2011 60 040508]
[12] Zheng C L, Fang J P, Chen L Q 2005 Acta Phys. Sin. 54 1468 (in Chinese) [郑春龙, 方建平, 陈立群 2005 54 1468]
[13] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[14] Dai C Q, Zhou G Q 2007 Chin. Phys. 16 1201
[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, Hong B H, Zheng C L 2009 Chaos, Solitons and Fractals 40 1352
[18] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63a 121
[19] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[20] Ma Y L, Li B Q 2010 Appl. Math. Comput. 216 2137
[21] Wang M L, Li X Z, Zhang J L 2008 Phys. Lett. A 372 417
[22] Li B Q, Ma Y L 2010 Z. Naturforsch. 65a 518
[23] Ma Y L, Li B Q 2010 J. Math. Phys. 51 063512
[24] 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]
[25] 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]
[26] Zhang J F 20073 Inter. J. Mod. Phys. B 17 4376
[27] Ma S H, Qiang J Y, Fang J P 2007 Commun. Theor. Phys. 48 662
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