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    李林芳, 舒级, 文慧霞. (1+1) 维KdV 方程的精确行波解[J]. 内江师范学院学报, 2018, (2): 50-53. DOI: 10.13603/j.cnki.51-1621/z.2018.02.011
    引用本文: 李林芳, 舒级, 文慧霞. (1+1) 维KdV 方程的精确行波解[J]. 内江师范学院学报, 2018, (2): 50-53. DOI: 10.13603/j.cnki.51-1621/z.2018.02.011
    shu
    LI Linfang, SHU Ji, WEN Huixia. The Exact Travelling Wave Solution to(1+1)-Dimensional KdV Equations[J]. Journal of Neijiang Normal University, 2018, (2): 50-53. DOI: 10.13603/j.cnki.51-1621/z.2018.02.011
    Citation: LI Linfang, SHU Ji, WEN Huixia. The Exact Travelling Wave Solution to(1+1)-Dimensional KdV Equations[J]. Journal of Neijiang Normal University, 2018, (2): 50-53. DOI: 10.13603/j.cnki.51-1621/z.2018.02.011
    shu

    (1+1) 维KdV 方程的精确行波解

    The Exact Travelling Wave Solution to(1+1)-Dimensional KdV Equations

      摘要
    • 摘要: 考虑一类混合(1 + 1)维 KdV方程的精确行波解的存在性, 首先通过引入波变量, 将偏微分方程转化为常微分方程,然后应用首次积分法得到常微分方程的解,从而获得混合(1+1)维 KdV方程的精确行波解.

       

      Abstract: The existence of the exact traveling wave solutions of a class of mixed(1+1)-dimensional KdV
      equationswas put under examination. Firstly, by introduction of the wave variable, the partial differential equations are transformed into ordinary differential equations. And then, by means of the initial integral method, the solution to the ordinary differential equation is obtained. And therefore, the exact traveling wave solutions to the mixed(1+1)-dimensional KdV equations are worked out.

       

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