搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

一类非线性方程类孤波的近似解法

石兰芳 林万涛 林一骅 莫嘉琪

引用本文:
Citation:

一类非线性方程类孤波的近似解法

石兰芳, 林万涛, 林一骅, 莫嘉琪

Approximate method of solving solitary-like wave for a class of nonlinear equation

Shi Lan-Fang, Lin Wan-Tao, Lin Yi-Hua, Mo Jia-Qi
PDF
导出引用
  • 采用了一个简单而有效的技巧, 研究了一类扰动发展方程. 首先引入求解一个相应典型方程的类孤波近似解, 然后利用泛函映射方法得到了原扰动发展方程的近似解, 指出了近似解级数的收敛性, 并用解析方法, 讨论了近似解的精度.
    The approximate solitary-like wave solution for a class of disturbed evolution equation is considered using a simple and valid technique. First, an approximate solution of a corresponding typical differential equation is introduced, and then the approximate solution for an original disturbed evolution equation is obtained using the functional mapping method. It is pointed out that the series of approximate solution is convergent. The accuracy of the approximate solution is also discussed using the analytic method.
    • 基金项目: 中国科学院战略性先导科技项目 (批准号: XDA01020304)、 国家自然科学基金(批准号: 11202106, 41275062, 41175058)和安徽高校省级自然科学研究项目(批准号: KJ2012A001, KJ2012Z245)资助的课题.
    • Funds: Project supported by the Strategic Priority Research of the Chinese Academy of Sciences (Grant No. XDA01020304), the National Natural Science Foundation of China (Grant Nos. 11202106, 41275062, 141175058), and the Natural Science Foundation from the Education Bureau of Anhui Province, China (Grant Nos. KJ2012A001, KJ2012Z245).
    [1]

    Ma S H, Qiang J Y, Fang J P 2007 Commu. Theor. Phys. 48 662

    [2]

    Parkes E J 2008 Chaos, Solitons and Fractals 38 154

    [3]

    Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527

    [4]

    Yang X D, Ruan H Y, Lou S Y 2007 Commu. Theor. Phys. 48 961

    [5]

    Yang J R, Mao J J 2008 Chin. Phys. B 17 4337

    [6]

    Pan L X, Zuo W M, Yan J R 2005 Acta Phys. Sin. 54 1 (in Chinese) [潘留仙, 左伟明, 颜家壬 2005 物理学报 54 1]

    [7]

    Lu D C, Hong B J, Tian L X 2006 Acta Phys. Sin. 55 5617 (in Chinese) [卢殿臣, 洪宝剑, 田立新 2006 物理学报 55 5617]

    [8]

    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]

    [9]

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

    [10]

    Jean-Philippe B 2006 Asymptotic Anal. 46 325

    [11]

    Libre J, da Silva, P R, Teixeira M A 2007 J. Dyn. Differ. Equations 19 309

    [12]

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

    [13]

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

    [14]

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

    [15]

    Mo J Q 2009 Sci. China G 39 568

    [16]

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

    [17]

    Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205

  • [1]

    Ma S H, Qiang J Y, Fang J P 2007 Commu. Theor. Phys. 48 662

    [2]

    Parkes E J 2008 Chaos, Solitons and Fractals 38 154

    [3]

    Yang J R, Mao J J 2008 Chin. Phys. Lett. 25 1527

    [4]

    Yang X D, Ruan H Y, Lou S Y 2007 Commu. Theor. Phys. 48 961

    [5]

    Yang J R, Mao J J 2008 Chin. Phys. B 17 4337

    [6]

    Pan L X, Zuo W M, Yan J R 2005 Acta Phys. Sin. 54 1 (in Chinese) [潘留仙, 左伟明, 颜家壬 2005 物理学报 54 1]

    [7]

    Lu D C, Hong B J, Tian L X 2006 Acta Phys. Sin. 55 5617 (in Chinese) [卢殿臣, 洪宝剑, 田立新 2006 物理学报 55 5617]

    [8]

    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]

    [9]

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

    [10]

    Jean-Philippe B 2006 Asymptotic Anal. 46 325

    [11]

    Libre J, da Silva, P R, Teixeira M A 2007 J. Dyn. Differ. Equations 19 309

    [12]

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

    [13]

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

    [14]

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

    [15]

    Mo J Q 2009 Sci. China G 39 568

    [16]

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

    [17]

    Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205

计量
  • 文章访问数:  6712
  • PDF下载量:  978
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-06-03
  • 修回日期:  2012-07-29
  • 刊出日期:  2013-01-05

/

返回文章
返回