HIGHLIGHTS
SUMMARY
The wave equation of classical physics describes the propagation of waves in a given background medium; however, the wave equation is not fundamental because it is not Galilean invariant. In this paper, the conditions for the new asymmetric wave equation to become a fundamental wave equation for classical waves are established and discussed. The paper is organized as follows: in Section 2, the basic equations are derived and discussed; the wave equations and their Lagrangians are obtained in Section 3; Galilean invariance of the wave equations is investigated in Section 4; applications of the . . .
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