-
利用一个投射方程和变量分离法,得到了(2+1)维 Korteweg-de Vries (KdV) 方程的新显式精确解.根据得到的孤立波解,构造出 KdV 方程的传播孤子结构. 利用一个新的混沌系统研究了孤子的混沌行为.
-
关键词:
- 投射方程 /
- Korteweg-de Vries 方程 /
- 传播孤子 /
- 混沌行为
With a projective equation and a linear variable separation method, new exact solutions of the (2+1)-dimensional Korteweg-de Vries system(KdV) is derived. Based on the derived solitary wave excitation, we obtain the propagating solitons and study the chaotic behaviours with a new chaotic system.[1] Zhang D J 2003 Chaos Soliton. Fract. 18 31
[2] Zhang D J 2005 Chaos Soliton. Fract. 23 1333
[3] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun.Theor.Phys. 49 829
[4] Zhang S L, Lou S Y 2007 Commun.Theor.Phys. 48 385
[5] Taogetusang, Sirendaoerji 2009 Acta Phys.Sin. 58 2121(in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[6] Taogetusang, Sirendaoerji 2009 Acta Phys.Sin. 58 5887(in Chinese)[套格图桑、斯仁道尔吉 2009 物理学报 58 5887 ]
[7] 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 物理学报 58 7402 ]
[8] Mo J Q, Zhang W J, Chen X F 2009 Acta Phys.Sin. 58 7397(in Chinese)[莫嘉琪、张伟江、陈贤峰 2009 物理学报 58 7397 ]
[9] Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[10] Lou S Y 1996 Commun. Theor. Phys. 26 487
[11] Lou S Y, Tang X Y, Li J 2001 Eue. Phys. J.B 22 473
[12] Lai D W C, Chow K W 1999 J. Phys.Soc. Jpn. 65 1847
[13] Lai D W C, Chow K W 2001 J. Phys.Soc. Jpn. 70 666
[14] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor.Phys. 42 175
[15] Ma S H, Qiang J Y, Fang J P 2007 Acta Phys.Sin. 56 0620(in Chinese) [马松华、强继业、方建平 2007 物理学报 56 0620 ]
[16] Fang J P, Zheng C L, Zhu J M 2005 Commun. Theor.Phys. 44 203
[17] Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z.Naturforsch. 61a 249
[18] Lou S Y 1998 Phys.Rev.Lett. 80 5027
[19] 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 ]
[20] 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 物理学报 56 0611 ]
[21] 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 ]
[22] Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos Soliton. Fract. 40 1352
[23] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63 a 121
[24] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[25] Fang J P, Zheng C L 2005 Chin.Phys. 4 670
[26] Calogero F 1975 Lett.Nouvo Cimento. 14 443
[27] Lou S Y, Ruan H Y 2001 J. Phys.A 34 305
[28] Lü J, Cheng G, Chen D 2004 Int.J. Bifur.Chaos 20 1507
-
[1] Zhang D J 2003 Chaos Soliton. Fract. 18 31
[2] Zhang D J 2005 Chaos Soliton. Fract. 23 1333
[3] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun.Theor.Phys. 49 829
[4] Zhang S L, Lou S Y 2007 Commun.Theor.Phys. 48 385
[5] Taogetusang, Sirendaoerji 2009 Acta Phys.Sin. 58 2121(in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[6] Taogetusang, Sirendaoerji 2009 Acta Phys.Sin. 58 5887(in Chinese)[套格图桑、斯仁道尔吉 2009 物理学报 58 5887 ]
[7] 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 物理学报 58 7402 ]
[8] Mo J Q, Zhang W J, Chen X F 2009 Acta Phys.Sin. 58 7397(in Chinese)[莫嘉琪、张伟江、陈贤峰 2009 物理学报 58 7397 ]
[9] Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[10] Lou S Y 1996 Commun. Theor. Phys. 26 487
[11] Lou S Y, Tang X Y, Li J 2001 Eue. Phys. J.B 22 473
[12] Lai D W C, Chow K W 1999 J. Phys.Soc. Jpn. 65 1847
[13] Lai D W C, Chow K W 2001 J. Phys.Soc. Jpn. 70 666
[14] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor.Phys. 42 175
[15] Ma S H, Qiang J Y, Fang J P 2007 Acta Phys.Sin. 56 0620(in Chinese) [马松华、强继业、方建平 2007 物理学报 56 0620 ]
[16] Fang J P, Zheng C L, Zhu J M 2005 Commun. Theor.Phys. 44 203
[17] Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z.Naturforsch. 61a 249
[18] Lou S Y 1998 Phys.Rev.Lett. 80 5027
[19] 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 ]
[20] 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 物理学报 56 0611 ]
[21] 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 ]
[22] Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos Soliton. Fract. 40 1352
[23] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63 a 121
[24] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[25] Fang J P, Zheng C L 2005 Chin.Phys. 4 670
[26] Calogero F 1975 Lett.Nouvo Cimento. 14 443
[27] Lou S Y, Ruan H Y 2001 J. Phys.A 34 305
[28] Lü J, Cheng G, Chen D 2004 Int.J. Bifur.Chaos 20 1507
计量
- 文章访问数: 7999
- PDF下载量: 846
- 被引次数: 0