The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation

被引：76

作者：

Ma, Wen-Xiu ^{[1
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机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[4] Shanghai Univ Elect Power, Coll Math & Phys, Shanghai 200090, Peoples R China

[5] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 471卷 / 1-2期

关键词：

Inverse scattering transform; Riemann-Hilbert problem; Soliton solution; RIEMANN-HILBERT APPROACH; HAMILTONIAN-STRUCTURE; INTEGRABLE SYSTEMS; SEMIDIRECT SUMS; MKDV HIERARCHY; REPRESENTATIONS; ALGEBRAS; IDENTITY;

D O I：

10.1016/j.jmaa.2018.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse scattering transform is developed for a combined modified Korteweg de Vrie equation through the technique of Riemann Hilbert problems. From special Riemann Hilbert problems with an identity jump matrix, soliton solutions are generated, which corresponds to the inverse scattering problems with reflectionless coefficients. A specific example of two-soliton solutions is explicitly presented, together with its 3d plots, contour plots and x-curve plots. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：796 / 811

页数：16

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