Burgers方程的精确孤立波解的符号计算
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Exact solitary wave solutions of Burgers equation using symbolic computation
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    摘要:

    借助于符号计算Maple, 给出了一种构造非线性波动方程行波解的直接代数方法,该方法的主要特点是充分利用Riccati方程. 使用此方法得到Burgers方程的多组精确行波解,其中包括一些新的孤立波解,这种方法也适用于求解其它的非线性波动方程(组).

    Abstract:

    With the aid of the symbolic computation system Maple, a direct algebraic method for constructing the traveling wave solutions to nonlinear wave equations was presented, and the main idea of this method was to take full advantage of the Riccati equation. Using this method, many kinds of traveling wave solutions including new solitary wave solutions were obtained for Burgers equation.So, this method can also be applied to solve other nonlinear wave equations.

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闻小永. Burgers方程的精确孤立波解的符号计算[J].动力学与控制学报,2008,6(1):12~15; Wen Xiaoyong. Exact solitary wave solutions of Burgers equation using symbolic computation[J]. Journal of Dynamics and Control,2008,6(1):12-15.

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  • 收稿日期:2007-04-16
  • 最后修改日期:2007-05-08
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