Numerical calculation of N-periodic wave solutions to coupled KdV-type equations

Abstract

In this paper, we study periodic wave solutions of coupled KdV-type equations. We present a numerical process to calculate the $N$-periodic waves based on the direct method of calculating periodic wave solutions proposed by Akira Nakamura. Particularly, in the case of $N=1,2,3$, we give some detailed examples to show the N-periodic wave solutions to a coupled Ramani equation.