中文摘要：

本文研究了构造非线性耦合KdV方程组的无穷序列复合型新解的问题.利用函数变换与辅助方程相结合的方法,获得了非线性耦合KdV方程组的自由Riemannμ函数、Jacobi椭圆函数、双曲函数和三角函数两两组合的无穷序列复合型新解.这些解包括了双弧子解、双周期解和弧子解与周期解复合的解.

英文摘要：

In this paper,the problem of constructing the new infinite sequence complexion solution of the nonlinear coupled KdV equations is researched.With the help of the method combining the function transformation with the auxiliary equation,the new infinite sequence complexion solutions consisting by two of the Riemannμfunction,Jacobi elliptic function,hyperbolic functions and trigonometric functions of the nonlinear coupled KdV equations are obtained.These solutions conclude two-solitions,double-periodic solutions and soliton solution and periodic solution complexion solutions.