Abstract
We use weakly nonlinear asymptotics to derive a canonical asymptotic equation for rotationally invariant hyperbolic waves. The equation can include weak dissipative, dispersive, or diffractive effects. We give applications to equations from magnetohydrodynamics, elasticity, and viscoelasticity.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1037-1053 |
| Number of pages | 17 |
| Journal | Communications on Pure and Applied Mathematics |
| Volume | 43 |
| Issue number | 8 |
| DOIs | |
| State | Published - Dec 1990 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics