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

被引：15

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

JOURNAL OF OCEAN ENGINEERING AND SCIENCE | 2017年 / 2卷 / 01期

关键词：

Nonlocal modified KdV equation; Soliton solutions; Periodic solutions; Exponential solutions; MULTIPLE-SOLITON-SOLUTIONS;

D O I：

10.1016/j.joes.2016.11.001

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

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. (C) 2017 Published by Elsevier B.V. on behalf of Shanghai Jiaotong University.

引用

页码：1 / 4

页数：4

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