Lie group analysis, Hamiltonian equations and conservation laws of Born-Infeld equation

Seyed Reza Hejazi

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Lie group analysis, Hamiltonian equations and conservation laws of Born-Infeld equation

机译：李群分析，哈密顿方程和Born-Infeld方程的守恒律

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摘要

Lie symmetry group method is applied to study the Born-Infeld equation. The symmetry group is given, and similarity solutions associated to the symmetries are obtained. Finally the Hamiltonian equations including Hamiltonian symmetry group and conservation laws are determined.

机译：采用李对称群方法研究Born-Infeld方程。给出对称性组，并获得与对称性相关的相似性解。最终确定了包含汉密尔顿对称群和守恒律的汉密尔顿方程。

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《Asian-European journal of mathematics 》 |2014年第3期| 共19页
作者
Seyed Reza Hejazi;
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原文格式 PDF
正文语种 eng
中图分类数学 ;
关键词
Born-Infeld theory; Lie symmetry; partial differential equation; Hamiltonian equations; conservation laws;

机译：Born-Infeld理论;Lie对称性;偏微分方程;Hamilton方程;守恒律;

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专利

1. Lie group analysis, Hamiltonian equations and conservation laws of Born-Infeld equation [J] . Seyed Reza Hejazi Asian-European journal of mathematics . 2014 ,第3期

机译：李群分析，哈密顿方程和Born-Infeld方程的守恒律
2. Comment on "On the conservation laws and invariant analysis for time-fractional coupled Fitzhugh-Nagumo equations using the Lie symmetry analysis" by S. Sahoo and S. S. Ray [J] . Kaur Jaskiran, Gupta Rajesh Kumar, Kumar Sachin European Physical Journal Plus . 2020 ,第2期

机译：评论“关于使用LIE对称分析的谎言耦合FITZHUGH-NAGUMO方程的保护法和不变分析”S. Sahoo和S. S. S. Ray
3. On the conservation laws and invariant analysis for time-fractional coupled Fitzhugh-Nagumo equations using the Lie symmetry analysis [J] . Sahoo S., Ray S. Saha European Physical Journal Plus . 2019 ,第2期

机译：关于使用LIE对称分析的节约法和时间分数耦合Fitzhugh-Nagumo方程的不变分析
4. Lie algebra pairing and the Lagrangian and Hamiltonianequations in gauge-invariant problems [C] . Marco Castrillon Lopez, Jaime Munoz Masque International Conference on Differential Geometry and Applications . 2008

机译：谎言代数配对和拉格朗日和哈密尔顿町在衡量的问题中
5. NONLOCAL LINEAR SECOND-ORDER "EQUATIONS OF MOTION" AND THEIR BALANCE LAWS AND CONSERVATION LAWS: A TECHNIQUE BYPASSING LAGRANGIANS. [D] . GOULD, LAURENCE IRA. 1982

机译：非局部线性二阶“运动方程”及其平衡律和守恒律：一种绕过拉格朗日人的技术。
6. Time-domain analysis of power law attenuation in space-fractional wave equations [O] . Xiaofeng Zhao, Robert J. McGough -1

机译：空间分数波方程中幂律衰减的时域分析
7. Lie symmetry analysis and conservation law for the equation arising from higher order Broer-Kaup equation [O] . Hengtai Wang, Huiwen Chen, Zigen Ouyang, 2019

机译：高阶布罗哈普方程所产生的等式的典范对称分析与保护法
8. Generalized Internal Long Wave Equations: Construction, Hamiltonian Structure and Conservation Laws [R] . Lebedev, D. R., Radul, A. O. 1982

机译：广义内部长波方程：构造，哈密顿结构和守恒定律

Lie group analysis, Hamiltonian equations and conservation laws of Born-Infeld equation

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