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Matrix Transformation and Transform the Generalized Wave Equation into the Maxwell Wave Equation

Xianzhao Zhong

Abstract

For free electromagnetic field, there are two kinds of the wave equation, one is Maxwell wave equation, another is generalized wave equation. In the paper, according to the matrix transformation the author transform the general quadratic form into diagonal matrix. Then this can obtain both forms of wave equation. One is the Maxwell wave equation, another is the second form of the wave equation. In the half latter of the paper the author establish other two vibrator differential equations.

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Available abstract

Key concepts: Electromagnetic wave equation, Wave equation, Mathematics, Mathematical analysis, Inhomogeneous electromagnetic wave equation, Wave packet, Transformation (genetics), Sinusoidal plane-wave solutions of the electromagnetic wave equation