Analytic study of solutions for the Born-Infeld equation in nonlinear electrodynamics

被引：0
|
作者：
Gao, Hui [1 ]
Xu, Tianzhou [1 ]
Fan, Tianyou [2 ]
Wang, Gangwei [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Beijing Inst Technol, Sch Phys, Beijing 100081, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 03期
关键词：
D O I：
10.1140/epjp/i2017-11419-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Born-Infeld equation is an important nonlinear partial differential equation in theoretical and mathematical physics. The Lie group method is used for simplifying the nonlinear partial differential equation, which is partly solved, in which there are some difficulties; to overcome the difficulties, we develop a power series method, and find the solutions in analytic form. In the mean time, a wave propagation (traveling wave) method is developed for solving the equation, and analytic solutions are also constructed.
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页数：7
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