New type of solutions for the modified Korteweg-de Vries equation

被引：0
|
作者：
Liu, Xing-yu [1 ,2 ]
Lu, Bin-he [3 ]
Zhang, Da-jun [1 ,2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China
[3] Shanghai Univ, Qianweichang Coll, Shanghai 200444, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2025年 / 159卷
基金：
中国国家自然科学基金;
关键词：
Modified Korteweg-de Vries equation; Trigonometric function; Soliton solution; Bilinear form; BACKLUND-TRANSFORMATIONS;
D O I：
10.1016/j.aml.2024.109288
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this letter we report a new type of multi-soliton solutions for the modified Korteweg-de Vries (mKdV) equation. These solutions contain a functions of the trigonometric solitons and classical solitons simultaneously. A new bilinear form of the mKdV equation is introduced to derive these solutions. The obtained solutions display as solitons living on a periodic background, which are analyzed and illustrated.
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