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扰动Nizhnik-Novikov-Veselov系统分形孤子渐近解

石兰芳 周先春 莫嘉琪

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扰动Nizhnik-Novikov-Veselov系统分形孤子渐近解

石兰芳, 周先春, 莫嘉琪

Asymptotic solution for fractal soliton of disturbed Nizhnik-Novikov-Veselov system

Shi Lan-Fang, Zhou Xian-Chun, Mo Jia-Qi
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  • 文章研究了一类扰动Nizhnik-Novikov-Veselov非线性系统, 利用特殊的渐近方法得到了相应系统分形孤子渐近解.
    A class of nonlinear disturbed Nizhnik-Novikov-Veselov system is studied. Using the special asymptotic method, the asymptotic solution for fractal soliton of corresponding system is obtained.
    • 基金项目: 国家自然科学基金(批准号:40876010)、中国科学院战略性先导科技专项应对气候变化的碳收支认证及相关问题项目(批准号:XDA01020304)、上海市教育委员会E-研究院建设计划项目(批准号:E03004)、浙江省自然科学基金(批准号:Y6110502)、安徽高校省级自然科学研究项目(批准号:KJ2011A135)、江苏省自然科学基金(批准号:BK2011042)、江苏高校优势学科建设工程资助项目和江苏省高校自然科学研究计划项目(批准号:08KJB510010)资助的课题.
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    Zhou X C,Lin W T,Lin Y H, Mo J Q 2010 Acta Phys. Sin. 59 2173 (in Chinese)[周先春、林万涛、林一骅、莫嘉琪 2010 59 2173]

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  • [1]

    Parkes E J,Duffy B R 1996 Comp. Phys. Commun. 98 288

    [2]

    Wang M L 1995 Phys. Lett. A 199 169

    [3]
    [4]

    Yan Z Y,Zhang H Q 2000 Acta Phys. Sin. 49 2113 (in Chinese)[闫振亚、张鸿庆 2000 49 2113]

    [5]
    [6]

    Fan E G 2000 Acta Phys. Sin. 49 1409 (in Chinese)[范恩贵 2000 49 1409]

    [7]
    [8]

    Parkes E J,Duffy B R,Abbott P C 2001 Phys. Lett. A 295 280

    [9]
    [10]
    [11]

    Liu S K,Liu S D,Fu Z T 2001 Acta Phys. Sin. 50 2068 (in Chinese)[刘式适、刘适达、付遵涛 2001 50 2068]

    [12]

    Liu S D,Fu Z T,Liu S K,Zhao Q 2002 Acta Phys. Sin. 51 718 (in Chinese)[刘式达、付遵涛、刘式适、赵 强 2002 51 718]

    [13]
    [14]
    [15]

    Wu G J,Han J H,Shi L M,Zhang M 2006 Acta Phys. Sin. 55 3858 (in Chinese)[吴国将、韩家骅、史良马、张 苗 2006 55 3858]

    [16]
    [17]

    Sirendaoreji,Sun J 2003 Phys. Lett. A 309 387

    [18]

    Taogetusang,Sirenlaoerji 2006 Acta Phys. Sin. 55 13 (in Chinese)[套格图桑、斯仁道尔吉 2006 55 13]

    [19]
    [20]

    Taogetusang,Sirenlaoerji 2006 Acta Phys. Sin. 55 3246 (in Chinese)[套格图桑、斯仁道尔吉 2006 55 3246]

    [21]
    [22]
    [23]

    Li X Z,Li X Y,Zhao L Y, Zhang J L 2008 Acta Phys. Sin. 57 2203 (in Chinese)[李向正、李修勇、赵丽英、张金良 2008 57 2203]

    [24]
    [25]

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

    [26]

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

    [27]
    [28]

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

    [29]
    [30]

    Zhen Y B,Wang M L,Miao T D 2004 Phys. Lett. A 323 77

    [31]
    [32]
    [33]

    Li X Z Zhang J L,Wang Y M,Wang M L 2004 Acta Phys,Sin. 53 4045 (in Chinese)[李向正、张金良、王跃明、王明亮 2004 53 4045]

    [34]

    Wang M L,Li X Z,Zhang J L 2008 Phys. Lett. A 372 417

    [35]
    [36]

    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]

    [37]
    [38]

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

    [39]
    [40]
    [41]

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

    [42]

    Taogetusang,Sirenlaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese)[套格图桑、斯仁道尔吉 2009 58 2121]

    [43]
    [44]

    Taogetusang,Sirenlaoerji 2009 Acta Phys. Sin. 58 5887 (in Chinese)[套格图桑、斯仁道尔吉 2009 58 5887]

    [45]
    [46]
    [47]

    Zhou Z C,Ma S H,Fang J P,Ren Q B 2010 Acta Phys. Sin. 59 7540 (in Chinese)[周振春、马松华、方建平、任清褒 2010 59 7540]

    [48]
    [49]

    D'Aprile T,Pistoia A 2010 J. Differ. Equations,248 556

    [50]
    [51]

    Barbu L,Morosanu G 2007 Singularly Perturbed Boundary-Value Problems Basel: Birkhauserm Verlag AG)

    [52]
    [53]

    Barbu L,Cosma E 2009 J. Math. Anal. Appl. 351 392

    [54]
    [55]

    Shin-Ichiro E,Matsuzawa H 2010 Discrete Contin. Dyn. Syst. 26 910

    [56]

    Kellogg R B,Kopteva N 2010 J. Differ. Eqns. 248 184

    [57]
    [58]
    [59]

    Suzuki R 2010 Adv. Differ. Eqns. 15 283

    [60]

    Mo J Q 2009 Sci. in China,Ser. G 52 1007

    [61]
    [62]
    [63]

    Mo J Q,Chen X F 2010 Chin. Phys. B 19 100203

    [64]

    Mo J Q,Lin Y H,Lin W T 2010 Chin. Phys. B 19 030202

    [65]
    [66]
    [67]

    Mo J Q 2010 Chin. Phys. B 19 010203.

    [68]
    [69]

    Shi L F, Mo J Q 2010 Chin. Phys. B 19 050203

    [70]
    [71]

    Zhou X C,Lin Y H,Lin W T, Mo J Q 2009 Chin. Phys. B 18 4603

    [72]

    Zhou X C,Lin Y H,Wang H, Mo J Q 2009 Acta Oceanologica Sin. 28 1

    [73]
    [74]
    [75]

    Shi L F, Mo J Q 2009 Acta Phys. Sin. 58 8123 (in Chinese)[石兰芳、莫嘉琪 2009 58 8123]

    [76]

    Zhou X C,Lin W T,Lin Y H, Mo J Q 2010 Acta Phys. Sin. 59 2173 (in Chinese)[周先春、林万涛、林一骅、莫嘉琪 2010 59 2173]

    [77]
    [78]
    [79]

    Shi L F,Zhou X C 2010 Acta Phys. Sin. 59 2915 (in Chinese)[石兰芳、周先春 2010 59 2915]

    [80]
    [81]

    Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York:CRC Press CO)

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计量
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  • 被引次数: 0
出版历程
  • 收稿日期:  2011-01-09
  • 修回日期:  2011-02-01
  • 刊出日期:  2011-11-15

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