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

摘要

In this paper, we study periodic wave solutions of coupled KdV-typeequations. We present a numerical process to calculate the $N$-periodic wavesbased on the direct method of calculating periodic wave solutions proposed byAkira Nakamura. Particularly, in the case of $N=1,2,3$, we give some detailedexamples to show the N-periodic wave solutions to a coupled Ramani equation.