The wave equation is an important second-order linear partial differential equation of waves, such as sound waves, light waves and water waves. It arises in fields such as 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, and Joseph-Louis Lagrange.

A pulse traveling through a string with fixed endpoints as modeled by the wave equation. Spherical waves coming from a point source.

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1D wave equation with dirac delta function as an external force.
physicsforums.com
1D wave equation with dirac delta function as an external force.

scorpion990

Fri, 13 Feb 2009 22:55:54 GM

It's a 1D nonhomogeneous . wave equation. with a "right hand side" equaling to the dirac delta function in x * a sinusoidal function in t. I have to find its general solution with the constraints: ...

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Sun Aug 30 21:50:38 2009