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

TL;DR

This paper develops a numerical method to compute N-periodic wave solutions for coupled KdV-type equations, demonstrating the approach with detailed examples for N=1,2,3.

Contribution

It introduces a numerical process based on Nakamura's direct method to calculate N-periodic solutions for coupled KdV equations, including specific examples.

Findings

Successfully computes N-periodic wave solutions for N=1,2,3

Provides detailed examples illustrating the method

Advances numerical techniques for 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.