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给出构造变系数非线性发展方程精确解的一种函数变换，并和第二种椭圆方程相结合，借助符号计算系统Mathematica，以带强迫项变系数组合KdV方程为例，得到了该方程新的类Jacobi椭圆函数精确解以及退化后的类孤子解和三角函数解.
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关键词:
- 辅助方程 /
- 函数变换 /
- 变系数非线性发展方程 /
- 精确解
A function transformation method for constructing exact solutions of the variable coefficient nonlinear evolution equations is proposed. The method together with the the second kind of elliptic equation and the symbolic computation system Mathematica is used to construct the new exact Jacobi elliptic function solutions, the degenerated soliton-like solutions and trigonometric function solutions of the composed KdV equation with forced variable coefficients.-
Keywords:
- auxiliary equation /
- function transformation /
- nonlinear evolution equation with variable coefficients /
- exact solution
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