Following Antman [Amer. Math. Mon., 87 (1980), pp. 359–370], we advocate a more physically realistic and systematic derivation of the wave equation suitable for a typical undergraduate course in partial differential equations. To demonstrate the utility of this derivation, three applications that follow naturally are described: strings, hanging chains, and jump ropes.
©2006 Society for Industrial and Applied Mathematics
Yong, DH. Strings, chains, and ropes. SIAM Rev. 2006;48(4): 771-781.