English

Stationary Oscillations in a Damped Wave Equation from Isospectral Bessel Functions

Mathematical Physics 2008-04-10 v1 math.MP

Abstract

Using the isospectral partners of the Bessel functions derived by Reyes et al., we find, on one hand, that these functions show non-typical supersymmetric (SUSY) behavior and, on the other, that the isospectral partner of the classical wave equation is equivalent to that of a damped system whose oscillations do not vanish in time, but show a non-harmonic shape.

Cite

@article{arxiv.0804.1510,
  title  = {Stationary Oscillations in a Damped Wave Equation from Isospectral Bessel Functions},
  author = {N. Barbosa-Cendejas and M. A. Reyes},
  journal= {arXiv preprint arXiv:0804.1510},
  year   = {2008}
}

Comments

5 pages, 2 figures

R2 v1 2026-06-21T10:29:17.080Z