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(3+1)维Burgers系统的瞬内嵌孤子和瞬锥形孤子

马松华 方建平 任清褒

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(3+1)维Burgers系统的瞬内嵌孤子和瞬锥形孤子

马松华, 方建平, 任清褒

Instantaneous embed soliton and instantaneous taper-like soliton for the (3+1)-dimensional Burgers system

Ma Song-Hua, Fang Jian-Ping, Ren Qing-Bao
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  • 利用投射方程法和变量分离法,得到了(3+1)维Burgers系统的变量分离解(包括孤波解、周期波解和有理函数解).根据孤波解和有理函数解,构造出Burgers系统新颖的局域结构,例如瞬内嵌孤子和瞬锥形孤子.
    With a projective equation method and a variable separation method, new families of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) for (3+1)-dimensional Burgers system is derived. Based on a derived solitory wave solution and a rational function solution, we obtain some novel localized structures such as instantaneous embed soliton and instantaneous taper-like soliton.
    • 基金项目: 浙江省自然科学基金(批准号:Y6090545,Y606252)和丽水学院自然科学基金(批准号:KZ09005)资助的课题.
    [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]

    Camassa R, Holm D D 1993 Phys. Rev. Lett. 71 1661

    [6]

    Lou S Y 1998 Phys. Rev. Lett. 80 5027

    [7]

    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物理学报512676]

    [8]

    Zhang D J 2003 Chaos Soliton. Fract. 18 31

    [9]

    Zhang D J 2005 Chaos soliton. Fract. 23 1333

    [10]

    Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829

    [11]

    Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385

    [12]

    Lou S Y 1999 Sci. China 42 537 (in Chinese) [楼森岳1999中国科学42537]

    [13]

    Zheng C L, Zhang J F 2002 Acta Phys. Sin. 51 2426 (in Chinese) [郑春龙、张解放2005物理学报512426]

    [14]

    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物理学报541468]

    [15]

    Zhu J M, Ma Z Y, Zheng C L 2004 Acta Phys. Sin. 53 3248 (in Chinese) [朱加民、马正义、郑春龙2004物理学报533248]

    [16]

    Lou S Y 1995 J. Phys. Math. Gen. A 28 7227

    [17]

    Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123

    [18]

    Ma Z Y, Zhu J M, Zheng C L 2004 Chin. Phys. 9 1382

    [19]

    Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655

    [20]

    Lou S Y 1996 Commun. Theor. 26 487

    [21]

    Lou S Y, Ruan H Y 2001 J.Phys. A 34 305

    [22]

    Lai D W C, Chou K W 1999 J. Phys. Soc. Jpn. 65 1847

    [23]

    Mo J Q 2009 Acta Phys. Sin. 58 0695 (in Chinese) [莫嘉珙2009物理学报580695]

    [24]

    Liang L W, Li X D, Li Y X 2009 Acta Phys. Sin. 58 2159 (in Chinese) [梁立为、李兴东、李玉霞2009物理学报582159]

    [25]

    Lou S Y 2000 Phys. Lett. A 277 94

    [26]

    Tang X Y, Liang Z F 2006 Phys. Lett. A 351 398

    [27]

    Ying J P, Lou S Y 2003 Chin. Phys. Lett. 20 1448

    [28]

    Fang J P, Zheng C L, Zhu J M 2005 Commun. Theor. Phys. 44 203

    [29]

    Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. 61 a 249

    [30]

    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560620]

    [31]

    Fang J P, Zheng C L 2005 Chin. Phys. 14 670

    [32]

    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542990]

    [33]

    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560611]

    [34]

    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555611]

    [35]

    Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos Soliton. Fract. 40 1352

    [36]

    Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63 a 121

    [37]

    Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767

    [38]

    Lou S Y, Yu J, Tang X Y 2000 Z. Naturforsch. 55 a 867

    [39]

    Dai C Q, Yan C J, Zhang J F 2006 Commun. Theor. Phys. 46 389

    [40]

    Kong F L, Chen S D 2006 Chaos Soliton. Fract. 27 495

  • [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]

    Camassa R, Holm D D 1993 Phys. Rev. Lett. 71 1661

    [6]

    Lou S Y 1998 Phys. Rev. Lett. 80 5027

    [7]

    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物理学报512676]

    [8]

    Zhang D J 2003 Chaos Soliton. Fract. 18 31

    [9]

    Zhang D J 2005 Chaos soliton. Fract. 23 1333

    [10]

    Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun. Theor. Phys. 49 829

    [11]

    Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385

    [12]

    Lou S Y 1999 Sci. China 42 537 (in Chinese) [楼森岳1999中国科学42537]

    [13]

    Zheng C L, Zhang J F 2002 Acta Phys. Sin. 51 2426 (in Chinese) [郑春龙、张解放2005物理学报512426]

    [14]

    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物理学报541468]

    [15]

    Zhu J M, Ma Z Y, Zheng C L 2004 Acta Phys. Sin. 53 3248 (in Chinese) [朱加民、马正义、郑春龙2004物理学报533248]

    [16]

    Lou S Y 1995 J. Phys. Math. Gen. A 28 7227

    [17]

    Ruan H Y, Lou S Y 1997 J. Math. Phys. 38 3123

    [18]

    Ma Z Y, Zhu J M, Zheng C L 2004 Chin. Phys. 9 1382

    [19]

    Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655

    [20]

    Lou S Y 1996 Commun. Theor. 26 487

    [21]

    Lou S Y, Ruan H Y 2001 J.Phys. A 34 305

    [22]

    Lai D W C, Chou K W 1999 J. Phys. Soc. Jpn. 65 1847

    [23]

    Mo J Q 2009 Acta Phys. Sin. 58 0695 (in Chinese) [莫嘉珙2009物理学报580695]

    [24]

    Liang L W, Li X D, Li Y X 2009 Acta Phys. Sin. 58 2159 (in Chinese) [梁立为、李兴东、李玉霞2009物理学报582159]

    [25]

    Lou S Y 2000 Phys. Lett. A 277 94

    [26]

    Tang X Y, Liang Z F 2006 Phys. Lett. A 351 398

    [27]

    Ying J P, Lou S Y 2003 Chin. Phys. Lett. 20 1448

    [28]

    Fang J P, Zheng C L, Zhu J M 2005 Commun. Theor. Phys. 44 203

    [29]

    Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. 61 a 249

    [30]

    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560620]

    [31]

    Fang J P, Zheng C L 2005 Chin. Phys. 14 670

    [32]

    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542990]

    [33]

    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560611]

    [34]

    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555611]

    [35]

    Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos Soliton. Fract. 40 1352

    [36]

    Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63 a 121

    [37]

    Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767

    [38]

    Lou S Y, Yu J, Tang X Y 2000 Z. Naturforsch. 55 a 867

    [39]

    Dai C Q, Yan C J, Zhang J F 2006 Commun. Theor. Phys. 46 389

    [40]

    Kong F L, Chen S D 2006 Chaos Soliton. Fract. 27 495

计量
  • 文章访问数:  6393
  • PDF下载量:  923
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-10-14
  • 修回日期:  2009-10-28
  • 刊出日期:  2010-07-15

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