Nonlocal modified KdV equations and their soliton solutions by Hirota Method

被引：96

作者：

Gurses, Metin ^{[1
]}

Pekcan, Asli ^{[2
]}

机构：

[1] Bilkent Univ, Dept Math, Fac Sci, TR-06800 Ankara, Turkey

[2] Hacettepe Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 67卷

关键词：

Ablowitz-Musslimani reduction; Nonlocal mKdV equations; Hirota bilinear form; Soliton solutions; DE-VRIES EQUATION; INVERSE SCATTERING TRANSFORM;

D O I：

10.1016/j.cnsns.2018.07.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the nonlocal modified Korteweg-de Vries (mKdV) equations obtained from AKNS scheme by Ablowitz-Musslimani type nonlocal reductions. We first find soliton solutions of the coupled mKdV system by using the Hirota direct method. Then by using the Ablowitz-Musslimani reduction formulas, we find one-, two-, and three-soliton solutions of nonlocal mKdV and nonlocal complex mKdV equations. The soliton solutions of these equations are of two types. We give one-soliton solutions of both types and present only first type of two- and three-soliton solutions. We illustrate our solutions by plotting their graphs for particular values of the parameters. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：427 / 448

页数：22

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