An Introduction to Wave Equations and Solitons
نویسنده
چکیده
This article is an introduction to wave equations, emphasizing for simplicity the case of a single space dimension. What we mean by a wave equation will gradually be made more precise as we proceed, but at first, we will just a mean a certain kind of ordinary differential equation on the space C∞(Rn, V ), where V is some finite dimensional vector space, usually R or C, (and generally we will take n = 1). Thus the wave equation will look like:
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