New doubly-periodic solutions for the new integrable non local modified KdV equation

Abstract

In this paper, new doubly-periodic solutions will be found for a new integrable nonlocal modified Korteweg-de Vries equation (mKdV). We adopt a technique using a travelling wave transformation which results in different solutions represented in Jacobi elliptic functions.

Keywords

• Nonlocal modified KdV equation
• Travelling waves
• Jacobi elliptic functions