Periodic and Solitary Wave Solutions to Generalized Compound KdV-mKdV Equations(English)
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摘要: 应用雅克比椭圆函数展开法求解了广义混和KdV-mKdV方程,并引入了一个转化用以简化求解过程, 许多解可以由此而得到.若取定一定的参数, 则可以推导出一些著名非线性方程的解.Abstract: A Jacobi elliptic function expansion method was used to solve generalized compound KdV-mKdV equations. Before this a transformation was introduced to simplify the solving process. Many solutions were obtained through this method, and some of them can be deduced to solutions of some famous nonlinear equations with particular parameters.
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