LIE SYMMETRY, FULL SYMMETRY GROUP, AND EXACT SOLUTIONS TO THE (2+1)-DIMENSIONAL DISSIPATIVE AKNS EQUATION

被引：0

作者：

Ma, Zheng-Yi ^{[1
,2
]}

Wu, Hui-Lin ^{[1
]}

Zhu, Quan-Yong ^{[1
]}

机构：

[1] Lishui Univ, Dept Math, Lishui 323000, Peoples R China

[2] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

ROMANIAN JOURNAL OF PHYSICS | 2017年 / 62卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

(2+1)-dimensional dissipative AKNS equation; Lie symmetry; full symmetry group; similarity reduction; invariant solutions; CONSERVATION-LAWS; WAVE SOLUTIONS; ZAKHAROV EQUATIONS; REDUCTIONS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a detailed Lie symmetry analysis of the (2+1)-dimensional dissipative AKNS equation is performed. The general finite transformation group is given via a simple direct method, which is in fact equivalent to Lie point symmetry group. The similarity reductions are considered from the general Lie symmetry and some exact solutions of the (2+1)-dimensional dissipative AKNS equation are obtained.

引用

页数：13

共 50 条

[1] Nonlocal symmetry and group invariant solutions of dissipative (2+1)-dimensional AKNS equation
Ab, Yarong Xia
Geng, Jiayang
Yao, Ruoxia
APPLIED MATHEMATICS LETTERS, 2024, 152
[2] Lie symmetry analysis, particular solutions and conservation laws for the dissipative (2+1)- dimensional AKNS equation
Tao, Sixing
COMMUNICATIONS IN ANALYSIS AND MECHANICS, 2023, 15 (03): : 494 - 514
[3] Exact travelling wave solutions for the dissipative (2+1)-dimensional AKNS equation
Liu Qiang
Zhang Weiguo
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) : 735 - 744
[4] Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system
Lina Chang
Hanze Liu
Xiangpeng Xin
Journal of Applied Mathematics and Computing, 2020, 64 : 807 - 823
[5] Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system
Chang, Lina
Liu, Hanze
Xin, Xiangpeng
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 64 (1-2) : 807 - 823
[6] Nonlocal symmetry and exact solutions of the (2+1)-dimensional Gardner equation
Liu, Yun-kai
Li, Biao
CHINESE JOURNAL OF PHYSICS, 2016, 54 (05) : 718 - 723
[7] Lie symmetry analysis, optimal system and exact solutions of a new (2+1)-dimensional KdV equation
Tiwari, Ashish
Arora, Rajan
MODERN PHYSICS LETTERS B, 2022, 36 (12):
[8] Lie Symmetry Analysis and Some Exact Solutions of (2+1)-dimensional KdV-Burgers Equation
Arora R.
Chauhan A.
International Journal of Applied and Computational Mathematics, 2019, 5 (1)
[9] Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a (2+1)-dimensional KdV–mKdV equation
Zhonglong Zhao
Lingchao He
Theoretical and Mathematical Physics, 2021, 206 : 142 - 162
[10] LIE SYMMETRY GROUP OF (2+1)-DIMENSIONAL JAULENT-MIODEK EQUATION
Ma, Hong-Cai
Deng, Ai-Ping
Yu, Yao-Dong
THERMAL SCIENCE, 2014, 18 (05): : 1547 - 1552

← 1 2 3 4 5 →