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在不同系统参数下,通过Painlev分析, 获得了广义修正Dullin-Gottwald-Holm方程中几类新的可积模型. 利用自动Backlund变换,得到了这几类可积模型的孤立波解.
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关键词:
- Painlev分析 /
- 广义修正Dullin-Gottwald-Holm方程 /
- 可积模型
Under different system parameters, some new integrable models of the generalized modified Dullin-Gottwald-Holm are obtained by Painlev analysis. Using the auto-Backlund transformation, solitary wave solutions of these integrable models are obtained.[1] Dullin H R, Gottwald G, Holm D D 2001 Phys. Rev. Lett. 87 1945
[2] Hakkaev S 2006 Phys. Rev. A 354 137
[3] [4] Yin J L, Tian L X 2010 J. Math. Phys. 51 023505
[5] [6] [7] Liu Y 2006 Math. Ann. 335 717
[8] [9] Christov O, Hakkaev S 2009 Physica D 238 9
[10] Tian L X, Gui G L, Liu Y 2005 Commun. Math. Phys. 257 667
[11] [12] [13] Yin J L,Tian L X 2010 Chaos Solitons Fract. 42 643
[14] Dai C Q 2007 Chin. Phys. B 16 1201
[15] [16] [17] Ma Z Y 2007 Chin. Phys. B 16 1848
[18] Camassa R, Holm D 1993 Phys. Rev. Lett. 71 1661
[19] [20] [21] Ma H C, Lou S Y 2005 Chin. Phys. 14 1495
[22] [23] Liu Y 2009 Acta Phys. Sin. 58 7452 (in Chinese) [刘 煜 2009 58 7452]
[24] Yin J L, Tian L X 2004 Acta Phys. Sin. 53 2821 (in Chinese) [殷久利、 田立新 2004 53 2821]
[25] [26] Liu C S 2007 Chin. Phys. B 16 1832
[27] [28] Yin J L, Tian L X 2009 Acta Phys. Sin. 58 3632 (in Chinese) [殷久利、 田立新 2009 58 3632]
[29] [30] [31] Yan Z Y 2003 Physica A 326 344
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[1] Dullin H R, Gottwald G, Holm D D 2001 Phys. Rev. Lett. 87 1945
[2] Hakkaev S 2006 Phys. Rev. A 354 137
[3] [4] Yin J L, Tian L X 2010 J. Math. Phys. 51 023505
[5] [6] [7] Liu Y 2006 Math. Ann. 335 717
[8] [9] Christov O, Hakkaev S 2009 Physica D 238 9
[10] Tian L X, Gui G L, Liu Y 2005 Commun. Math. Phys. 257 667
[11] [12] [13] Yin J L,Tian L X 2010 Chaos Solitons Fract. 42 643
[14] Dai C Q 2007 Chin. Phys. B 16 1201
[15] [16] [17] Ma Z Y 2007 Chin. Phys. B 16 1848
[18] Camassa R, Holm D 1993 Phys. Rev. Lett. 71 1661
[19] [20] [21] Ma H C, Lou S Y 2005 Chin. Phys. 14 1495
[22] [23] Liu Y 2009 Acta Phys. Sin. 58 7452 (in Chinese) [刘 煜 2009 58 7452]
[24] Yin J L, Tian L X 2004 Acta Phys. Sin. 53 2821 (in Chinese) [殷久利、 田立新 2004 53 2821]
[25] [26] Liu C S 2007 Chin. Phys. B 16 1832
[27] [28] Yin J L, Tian L X 2009 Acta Phys. Sin. 58 3632 (in Chinese) [殷久利、 田立新 2009 58 3632]
[29] [30] [31] Yan Z Y 2003 Physica A 326 344
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