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一类非线性扰动Burgers方程的孤子变分迭代解法

吴钦宽

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一类非线性扰动Burgers方程的孤子变分迭代解法

吴钦宽

Variational iteration solution method of soliton for a class of nonlinear disturbed Burgers equation

Wu Qin-Kuan
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  • 研究了一类非线性扰动Burgers方程的求解问题. 利用变分迭代方法, 首先引入一个泛函, 然后计算它的变分, 最后构造方程的迭代关系式, 得到了相应方程的孤子解的近似展开式.
    The problem of solving a class of nonlinear disturbed Burgers equation is studied. Using the variational iteration method, a functional is introduced, then its variational is computed, and the iteration expansion is constructed. The soliton solutions of the approximate expansion are obtained from the corresponding equation.
    • 基金项目: 国家自然科学基金(批准号: 11071205)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11071205).
    [1]

    MePhadem M J, Zhang D 2002 Power 415 603

    [2]

    Gu D F, Philander S G H 1997 Science 275 805

    [3]

    Ma S H, Qing J Y, Fang J P 2007 Commun. Theor. Phys. 48 662

    [4]

    Loutsenko I 2006 Commun. Math. Phys. 268 465

    [5]

    Gedalin M 1998 Phys. Piasmas 5 127

    [6]

    Parkes E J 2008 Chaos Soliton. Fract. 38 154

    [7]

    Parkes E J, Duffy B R 1996 Comput. Physt. Commun. 98 288

    [8]

    Wang M L 1995 Phys. Lett. A 199 169

    [9]

    He J H 2006 International J. Modern Phys. 20B 1141

    [10]

    He J H 2002 Approxinate Nonlinear Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学计算中的近似非线性分析方法 (郑州: 河南科学技术出版社)]

    [11]

    Ma S H, Fang J P, Ren Q B 2010 Acta Phys. Sin. 59 4420 (in Chinese) [马松华, 方建平, 任清褒 2010 物理学报 59 4420]

    [12]

    Ma S H, Fang J P, Hong B H, Zhang C L 2009 Chaos. Solitons and Fract. 40 1352

    [13]

    Xu Y H, Mo J Q , Wen Z H 2011 Acta Phys. Sin. 60 050205 (in Chinese) [许永红, 莫嘉琪, 温朝晖 2011 物理学报 60 050205]

    [14]

    Mo J Q , Lin W T 2005 Chin. Phys. 14 875

    [15]

    Mo J Q , Wang H, Lin W T 2006 Chin. Phys. 15 1450

    [16]

    Wu Q K 2011 Acta Phys. Sin. 60 068802 (in Chinese) [吴钦宽 2011 物理学报 60 068802]

    [17]

    Huang N N 1996 Theory of Solition and Method of Perturbations (Shanghai: Shanghai Scientific and Technologicai Education Publishing House) (in Chinese) [黄念宁 1996 孤子理论和扰动方法(上海: 上海科技教育出版社)]

    [18]

    Yousefi S A, Dehgha M 2010 Int. J. Comout. Math. 87 1299

    [19]

    Hemeda A A 2009 Chaos, Solitons and Fract. 39 1297

    [20]

    Abassy T A 2010 Comput. Math Appl. 59 912

    [21]

    Song L N, Wang Q, Zhang H Q 2009 J. Comout. Appl. Math. 224 210

    [22]

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

    [23]

    Zhang G X, Li Z B, Duan Y S 2000 Science in China A 12 1103

  • [1]

    MePhadem M J, Zhang D 2002 Power 415 603

    [2]

    Gu D F, Philander S G H 1997 Science 275 805

    [3]

    Ma S H, Qing J Y, Fang J P 2007 Commun. Theor. Phys. 48 662

    [4]

    Loutsenko I 2006 Commun. Math. Phys. 268 465

    [5]

    Gedalin M 1998 Phys. Piasmas 5 127

    [6]

    Parkes E J 2008 Chaos Soliton. Fract. 38 154

    [7]

    Parkes E J, Duffy B R 1996 Comput. Physt. Commun. 98 288

    [8]

    Wang M L 1995 Phys. Lett. A 199 169

    [9]

    He J H 2006 International J. Modern Phys. 20B 1141

    [10]

    He J H 2002 Approxinate Nonlinear Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学计算中的近似非线性分析方法 (郑州: 河南科学技术出版社)]

    [11]

    Ma S H, Fang J P, Ren Q B 2010 Acta Phys. Sin. 59 4420 (in Chinese) [马松华, 方建平, 任清褒 2010 物理学报 59 4420]

    [12]

    Ma S H, Fang J P, Hong B H, Zhang C L 2009 Chaos. Solitons and Fract. 40 1352

    [13]

    Xu Y H, Mo J Q , Wen Z H 2011 Acta Phys. Sin. 60 050205 (in Chinese) [许永红, 莫嘉琪, 温朝晖 2011 物理学报 60 050205]

    [14]

    Mo J Q , Lin W T 2005 Chin. Phys. 14 875

    [15]

    Mo J Q , Wang H, Lin W T 2006 Chin. Phys. 15 1450

    [16]

    Wu Q K 2011 Acta Phys. Sin. 60 068802 (in Chinese) [吴钦宽 2011 物理学报 60 068802]

    [17]

    Huang N N 1996 Theory of Solition and Method of Perturbations (Shanghai: Shanghai Scientific and Technologicai Education Publishing House) (in Chinese) [黄念宁 1996 孤子理论和扰动方法(上海: 上海科技教育出版社)]

    [18]

    Yousefi S A, Dehgha M 2010 Int. J. Comout. Math. 87 1299

    [19]

    Hemeda A A 2009 Chaos, Solitons and Fract. 39 1297

    [20]

    Abassy T A 2010 Comput. Math Appl. 59 912

    [21]

    Song L N, Wang Q, Zhang H Q 2009 J. Comout. Appl. Math. 224 210

    [22]

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

    [23]

    Zhang G X, Li Z B, Duan Y S 2000 Science in China A 12 1103

计量
  • 文章访问数:  5814
  • PDF下载量:  497
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-04-02
  • 修回日期:  2011-04-30
  • 刊出日期:  2012-01-05

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