Group Analysis of Born-Infeld Equation
Mehdi Nadjafikhah, Seyed Reza Hejazi
TL;DR
This paper applies Lie symmetry group methods to analyze the Born-Infeld equation, identifying its symmetry group, optimal system, and invariant solutions, and exploring the structure of its Lie algebra symmetries.
Contribution
It provides a comprehensive symmetry analysis of the Born-Infeld equation, including the symmetry group, optimal system, invariant solutions, and Lie algebra structure, which was not previously detailed.
Findings
Symmetry group and optimal system of the Born-Infeld equation are determined.
Group invariant solutions associated with the symmetries are obtained.
The structure of the Lie algebra symmetries is characterized.
Abstract
Lie symmetry group method is applied to study the Born-Infeld equation. The symmetry group and its optimal system are given, and group invariant solutions associated to the symmetries are obtained. Finally the structure of the Lie algebra symmetries is determined.
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Taxonomy
Topicsadvanced mathematical theories