Lie symmetry analysis, exact solutions, and conservation laws to multi-component nonlinear Schrodinger equations

被引：7

作者：

Bai, Yu-Shan ^{[1
]}

Liu, Ya-Na ^{[1
]}

Ma, Wen-Xiu ^{[2
,3
,4
,5
]}

机构：

[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China

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

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

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

[5] North West Univ, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 19期

基金：

中国国家自然科学基金;

关键词：

Multi-component nonlinear Schrodinger equations; Lie symmetry; Exact solutions; Conservation law; SOLITON-SOLUTIONS;

D O I：

10.1007/s11071-023-08833-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The multi-component nonlinear Schrodinger equations (MNLS) are derived by extending the single-component nonlinear Schrodinger equation to multiple interacting fields. These equations often describe the dynamics of wave packets in quantum mechanics or nonlinear optics. In this paper, we investigate MNLS equations via the Lie symmetry method. The Lie infinitesimal symmetries of the MNLS equations are derived by solving recursive determining equations, and the symmetry reductions of the equations are given by using symmetry variables. Moreover, some interesting explicit solutions for the equations are constructed. Finally, the conservation laws of the MNLS equations are obtained utilizing Ibragimov's method with detailed derivation.

引用

页码：18439 / 18448

页数：10

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