The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation

被引：24
|
作者：
Machihara, Shuji [1 ]
Omoso, Takayuki [1 ]
机构：
[1] Shimane Univ, Dept Math, Matsue, Shimane 6908504, Japan
来源：
RICERCHE DI MATEMATICA | 2007年 / 56卷 / 01期
关键词：
Nonlinear Dirac equation; Dirac-Klein-Gordon equation; Pauli matrix;
D O I：
10.1007/s11587-007-0002-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In [3] Dias and Figueira have reported that the square of the solution for the nonlinear Dirac equation satisfies the linear wave equation in one space dimension. So the aim of this paper is to proceed with their work and to clarify a structure of the nonlinear Dirac equation. The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation are obtained.
引用
收藏
页码：19 / 30
页数：12
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