A new integrable nonlocal modified KdV equation: Abundant solutions with distinct physical structures

Journal of Ocean Engineering and Science

关键词: Nonlocal modified KdV equation;    Soliton solutions;    Periodic solutions;    Exponential solutions;   

DOI  :  10.1016/j.joes.2016.11.001

来源: DOAJ

【 摘 要 】

In this work we study a new integrable nonlocal modified Korteweg–de Vries equation (mKdV) which arises from a reduction of the AKNS scattering problem. We use a variety of distinct techniques to determine abundant solutions with distinct physical structures. We show that this nonlocal equation possesses a family of traveling solitary wave solutions that include solitons, kinks, periodic and singular solutions.

【 授权许可】

Unknown