应用修正影射法分别求解三类非线性演化方程,即非线性Klein-Gordon方程,mKdV方程和广义Boussinesq方程,得到了一些新的Jacobi椭圆函数展开解,包括Jacobi椭圆函数解、混合Jacobi椭圆函数解、孤子解和三角函数解.
By using the modified mapping method, we find some new exact solutions of the nonlinear Klein-Gordon equation, mKdV equation and the generalized Boussinesq equation. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions, soliton-like solutions and triangular function solutions.