New Rational Form Solutions to mKdV Equation

In this paper, new basic functions, which are composed of threebasic Jacobi elliptic functions, are chosen as components offinite expansion. This finite expansion can be taken as an ansatzand applied to solve nonlinear wave equations. As an example, mKdVequation is solved, and more new rational form solutions arederived, such as periodic solutions of rational form, solitarywave solutions of rational form, and so on.