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(3+1)维Burgers扰动系统孤波的解法

许永红 姚静荪 莫嘉琪

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(3+1)维Burgers扰动系统孤波的解法

许永红, 姚静荪, 莫嘉琪

Solving method of solitary wave for (3+1) - dimensional burgers disturbed system

Xu Yong-Hong, Yao Jing-Sun, Mo Jia-Qi
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  • 研究了在物理模型中的一类扰动高维非线性Burgers系统. 利用经过改进的广义变分迭代方法, 构造了相应迭代关系式. 得到了扰动系统的孤波近似解.
    A class of higher-dimensional disturbed nonlinear Burgers system in physical model is studied. By using the modifying generalized variational iteration method, the corresponding iteration expansions are constructed. And the approximate solutions of the solitary wave by using the iteration method are obtained.
    • 基金项目: 国家自然科学基金(批准号: 11071205), 中国科学院战略性先导科技专项-对应气候变化的碳收支认证及相关问题项目(批准号: XDA01020304), 江苏省自然科学基金(批准号: BK2011042), 浙江省自然科学基金(批准号: Y6110502)和安徽高校省级自然科学研究基金(批准号: KJ2011A135, KJ2011Z003)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11071205), the “Strategic Priority Research Program-Climate Change: Carbon Budget and Relevant Issues” of the Chinese Academy of Sciences (Grant No. XDA01020304), the Natural Science Foundation of Jiangsu Province (Grant No. BK2011042), the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6110502), and the Natural Science Foundation from the Education Bureau of Anhui Province, China(Grant Nos. KJ2011A135, KJ2011Z003).
    [1]

    Wang Mingliang 1995 Phys. Lett. A 199 169

    [2]

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

    [3]

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

    [4]

    Fang J P, Zheng C L 2005 Chin. Phys. 14 669

    [5]

    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]

    [6]

    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]

    [7]

    Mo J Q 2009 Science in China Ser. G 52 1007

    [8]

    Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119

    [9]

    Mo J Q 2009 Chin. Phys. Lett. 26 010204

    [10]

    Mo J Q 2009 Chin. Phys. Lett. 26 060202

    [11]

    Mo J Q 2010 Commun. Theor. Phys. 53 440

    [12]

    Mo J Q 2010 Chin. Phys. B 19 010203

    [13]

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

    [14]

    Mo J Q 2011 Acta. Phys. Sin. 60 030203 (in Chinese) [莫嘉琪 2011 物理学报 2011 60 030203]

    [15]

    He J H 2002 Approximate Nonlinear Analytical Methods in Engineering and Science (Shengzhou: Henan Science and Technology Press,) (in Chinese) [何吉欢 2002 工程和科学计算中的非线性近似分析方法 (郑州: 河南科学技术出版社)]

  • [1]

    Wang Mingliang 1995 Phys. Lett. A 199 169

    [2]

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

    [3]

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

    [4]

    Fang J P, Zheng C L 2005 Chin. Phys. 14 669

    [5]

    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]

    [6]

    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]

    [7]

    Mo J Q 2009 Science in China Ser. G 52 1007

    [8]

    Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119

    [9]

    Mo J Q 2009 Chin. Phys. Lett. 26 010204

    [10]

    Mo J Q 2009 Chin. Phys. Lett. 26 060202

    [11]

    Mo J Q 2010 Commun. Theor. Phys. 53 440

    [12]

    Mo J Q 2010 Chin. Phys. B 19 010203

    [13]

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

    [14]

    Mo J Q 2011 Acta. Phys. Sin. 60 030203 (in Chinese) [莫嘉琪 2011 物理学报 2011 60 030203]

    [15]

    He J H 2002 Approximate Nonlinear Analytical Methods in Engineering and Science (Shengzhou: Henan Science and Technology Press,) (in Chinese) [何吉欢 2002 工程和科学计算中的非线性近似分析方法 (郑州: 河南科学技术出版社)]

计量
  • 文章访问数:  5351
  • PDF下载量:  467
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-03-06
  • 修回日期:  2011-04-07
  • 刊出日期:  2012-01-05

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