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
收藏
页码：57 / 67
页数：11
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