A Five-Component Generalized mKdV Equation and Its Exact Solutions

被引：2
作者：
Xue, Bo [1 ]
Du, Huiling [1 ]
Li, Ruomeng [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Peoples R China
来源：
MATHEMATICS | 2020年 / 8卷 / 07期
基金：
中国国家自然科学基金;
关键词：
gauge transformation; Darboux transformation; explicit solution; CLASSICAL BOUSSINESQ SYSTEM; FOLD DARBOUX TRANSFORMATION; SOLITON-SOLUTIONS;
D O I：
10.3390/math8071145
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a 3 x 3 spectral problem is proposed and a five-component equation that consists of two different mKdV equations is derived. A Darboux transformation of the five-component equation is presented relating to the gauge transformations between the Lax pairs. As applications of the Darboux transformations, interesting exact solutions, including soliton-like solutions and a solution that consists of rational functions ofexandt, for the five-component equation are obtained.
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页数：12
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