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- W4308902368 abstract "A class of analytically exact solutions is derived of the two-dimensional wave equation, excited by a point source (i.e. a uniform line source in 3D) at the origin r = 0 with polynomial time dependence that starts at t = 0 . The solutions are essentially similarity solutions in the variable c 0 t / r . Their explicit formulation is supported by analytical results for large t and small r behaviour. By taking advantage of linearity, sources of finite duration can be modelled by subtracting from a solution its delayed version. For illustration, some examples are given graphically as functions of r , of t , and of t − r / c 0 , for a number of points in time and location, respectively. • A class of analytically exact solutions of the 2D wave equation with a point source. • Explicit examples for pulse type sources. • Asymptotic behaviour of solutions for general and pulse type sources. • Graphical examples." @default.
- W4308902368 created "2022-11-19" @default.
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- W4308902368 date "2023-02-01" @default.
- W4308902368 modified "2023-10-14" @default.
- W4308902368 title "A class of cylindrically symmetric exact solutions of the wave equation" @default.
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- W4308902368 doi "https://doi.org/10.1016/j.jsv.2022.117430" @default.
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