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$$ {q}_3 $$.

引用

页码：4497 / 4512

页数：16

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