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物理学报  2008 

The auxiliary equation for constructing the exact solutions of the variable coefficient combined KdV equation with forcible term
辅助方程构造带强迫项变系数组合KdV方程的精确解

Keywords: auxiliary equation,function transformation,variable coefficient combined KdV equation,exact solution
辅助方程
,函数变换,变系数组合KdV方程,精确解

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Abstract:

Based on the auxiliary equation method, a method of auxiliary equation of elliptic function combined with function transformation is proposed. The method is applied to constructed the Jacobi-like elliptic function exact solutions, degenerated solitary-like solutions and triangle-like function wave solutions of variable coefficient combined KdV equation with forcible term with the help of symbolic computation system Mathematica.

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