Question

What does this coordinate transformation in the Wave equation mean?

Answer 1

The wave equation is an important second-order linear partial differential equation for the description of waves—as they occur in classical physics—such as mechanical waves (e.g. water waves, sound waves and seismic waves) or light waves. It arises in fields like acoustics, electromagnetics, and fluid dynamics.

Historically, the problem of a vibrating string such as that of a musical instrument was studied by Jean le Rond d'Alembert, Leonhard Euler, Daniel Bernoulli, andJoseph-Louis Lagrange.[1][2][3][4] In 1746, d’Alembert discovered the one-dimensional wave equation, and within ten years Euler discovered the three-dimensional wave equation

Answer 2

The wave equation is an important second- order linear partial differential ..... This means that the net displacement caused by two or more waves is the sum of the displacements ☺ ☺