SYMMETRY REDUCTIONS OF A NONISOSPECTRAL LAX PAIR FOR A (2+1)-DIMENSIONAL BREAKING SOLITON SYSTEM

被引：2

作者：

Lv, Na

Niu, Datian ^{[1
]}

Yuan, Xuegang

Qiu, Xudong

机构：

[1] Beifang Univ Nationalities, Sch Math & Informat, Yinchuan 750021, Peoples R China

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2016年 / 78卷 / 01期

基金：

中国国家自然科学基金;

关键词：

symmetry reduction; breaking soliton system; nonisospectral Lax pair; Darboux transformation; DARBOUX TRANSFORMATION; HIERARCHY;

D O I：

10.1016/S0034-4877(16)30050-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we use the classical Lie group method to seek the symmetry algebras of the nonisospectral Lax pair for a (2 + 1)-dimensional breaking soliton system by considering the spectral parameter as an additional field. Based on the obtained symmetries, four reduced (1 + 1) -dimensional equations with their new Lax pairs are presented. After studying one of the reduced Lax pairs, we obtain an explicit solution of the breaking soliton system by a Darboux transformation.

引用

页码：57 / 67

页数：11

共 50 条

[21] Conservation laws and solutions for a (2+1)-dimensional generalized breaking soliton system
Khalique, Chaudry Masood
Motsepa, Tanki
[J]. INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
[22] (2+1)-dimensional local and nonlocal reductions of the negative AKNS system: Soliton solutions
Gurses, Metin
Pekcan, Asli
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 71 : 161 - 173
[23] Symmetry reductions and similarity solutions of the (3+1)-dimensional breaking soliton equation
Yan, Zhi-lian
Zhou, Jian-ping
Liu, Xi-qiang
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 201 (1-2) : 333 - 339
[24] Chiral symmetry breaking in (2+1) dimensional QED
Maris, P
Lee, D
[J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2003, 119 : 784 - 786
[25] Multi-Soliton Excitations and Chaotic Patterns for the (2+1)-Dimensional Breaking-Soliton System
Lue, Li-Chen
Ma, Song-Hua
Fang, Jian-Ping
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (6-7): : 477 - 482
[26] Differential Invariants of the (2+1)-Dimensional Breaking Soliton Equation
Han, Zhong
Chen, Yong
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2016, 71 (09): : 855 - 862
[27] Integrability of a (2+1)-dimensional generalized breaking soliton equation
Xu, Gui-qiong
[J]. APPLIED MATHEMATICS LETTERS, 2015, 50 : 16 - 22
[28] On the coherent structures of (2+1)-dimensional breaking soliton equation
Ruan, HY
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2002, 71 (02) : 453 - 457
[29] Symmetry Reduction of (2+1)-Dimensional Lax–Kadomtsev–Petviashvili Equation
胡恒春
王竞博
朱海东
[J]. Communications in Theoretical Physics, 2015, 63 (02) : 136 - 140
[30] Integrable (2+1)-dimensional and (3+1)-dimensional breaking soliton equations
Wazwaz, Abdul-Majid
[J]. PHYSICA SCRIPTA, 2010, 81 (03)

← 1 2 3 4 5 →