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) |
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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