Conservation laws, modulation instability, and mixed semi-rational solutions for a three-component modified nonlinear Schrödinger equation

被引：0
|
作者：
Xu, Tao [1 ]
Qiao, Zhijun [2 ]
机构：
[1] Zhengzhou Univ Light Ind, Sch Math & Informat Sci, Zhengzhou, Peoples R China
[2] North China Univ Sci & Technol, Coll Math & Sci, Tangshan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 06期
基金：
中国国家自然科学基金;
关键词：
conservation laws; Darboux transformation; modulation instability; semi-rational solutions; three-component modified nonlinear Schrodinger equation; SCHRODINGER-EQUATION; ROGUE WAVES; PROPAGATION; SOLITONS;
D O I：
10.1002/mma.9824
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a three-component modified nonlinear Schrodinger equation and main results include: (1) Lax pair and infinitely-many conservation laws, (2) modulation instability of continuous waves, (3) semi-rational solutions obtained through the Darboux transformation, and (4) four new types of mixed semi-rational solutions provided for the three components q1$$ {q}_1 $$, q2$$ {q}_2 $$ and q3$$ {q}_3 $$.
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页码：4497 / 4512
页数：16
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