Abstract
In this chapter we will study the physical problem of the wave propagation. The wave equation usually describes water waves, the vibrations of a string or a membrane, the propagation of electromagnetic and sound waves, or the transmission of electric signals in a cable. The function u(x,t) defines a small displacement of any point of a vibrating string at position x at time t. Unlike the heat equation, the wave equation contains the term u tt that represents the vertical acceleration of a vibrating string at point x, which is due to the tension in the string [2–5].
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© 2009 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
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Wazwaz, AM. (2009). One Dimensional Wave Equation. In: Partial Differential Equations and Solitary Waves Theory. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00251-9_5
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DOI: https://doi.org/10.1007/978-3-642-00251-9_5
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