非线性耦合Schrdinger-KdV方程的新精确解

New Exact Solutions of the Nonlinearly Coupled Schrdinger-KdV Equations

在文献(Phys.Lett.,2008,A372(4):417-423.)的基础上,通过改变辅助微分方程,提出了一种广义的(G'/G)-展开法,并利用该方法求解了耦合Schrdinger-KdV方程,得到耦合Schrdinger-KdV方程的诸多用Jacobi椭圆函数表示的新解,当Jacobi椭圆函数的模m→1或0时,便得到耦合Schrdinger-KdV方程用双曲函数或三角函数表示的精确解.

On the basis of the reference （ Phys. Lett. ,2008, A372 （4） ：417 - 423. ） , a generalized （G＇/G） -expansion method is proposed by changing the auxiliary ordinary differential equation, some new exact solutions of Jacobi elliptic function form of the coupled Schrodinger-KdV equation are obtained. When the modulus of the Jacobi elliptic function m→1 or 0, hyperbolic function solutions and trigonometric function solutions form of the coupled Schrodinger-KdV equation can be obtained.