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对第一类椭圆方程进行新形式的函数展开,构造出非线性波动方程新的Jacobi椭圆函数解.将该方法应用于组合KdV-mKdV方程,得到方程新的Jacobi椭圆函数解,并列出一些具体的解和作出相应的图形.
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关键词:
- 第一类椭圆方程 /
- Jacobi椭圆函数 /
- 组合KdV-mKdV方程 /
- 行波解
Based on the new expansion of the first kind of elliptic function, a method for constructing Jacobi elliptic function solutions to nonlinear wave equations is p roposed. The method is applied to the coupled KdV-mKdV equation and some new Jacobi elliptic function solutions to the equation are obtained. Some specific kind s of solutions and their relevant figures are also presented.-
Keywords:
- elliptic function of the first kind /
- Jacobi elliptic functions /
- coupled KdV-mKdV equation /
- travelling wave solutions
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