Nonlocal symmetries, exact solutions, and conservation laws for the nonlinear Dirac system

被引：0
|
作者：
Zhang, Feng [1 ]
Xin, Xiangpeng [2 ]
Zhang, Yi [1 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
[2] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2025年 / 44卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Nonlinear Dirac system; Nonlocal symmetries; Periodic wave solutions; Conservation laws;
D O I：
10.1007/s40314-024-03067-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonlocal symmetries of the nonlinear Dirac system are constructed on the basis of the known Lax pair. With the help of suitable auxiliary variable, the nonlocal symmetries are transformed into Lie point symmetries, while the nonlinear Dirac system is enlarged to a prolonged system that contains auxiliary variable. The soliton periodic wave interaction solution and periodic wave solution for the Dirac system are obtained using the method of similarity reduction on the prolonged system. Furthermore, the conservation laws of the Dirac system are derived.
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页数：12
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