Is the “drunken sinusoid” a soliton solution?

A family of functions fα(x) = sin(x + α) exp(cos(x)) is analysed. Explicit formulae for the Fourier and Maclaurin expansion of fα are calculated and a hierarchy of algebraic differential equations admitting some fα as solutions is presented. A few problems concerning analytic and algebraic properties of fα are mentioned as well as natural wave features of fα are regarded.