CHIMERAS
Abstract
The propagation of nonlinear wave packets and modulated beams, and other features of nonlinear wave propagation can be described in terms of several approximate, heuristic theories. The neoclassical approximation, to be presented here, is representative of a style of approximation that includes a number of the approximations currently in use as special cases or as limiting cases. It is, in a manner of speaking, the best approximation of its kind in the sense that it coincides with the nonlinear wave equation from which it is derived in more limiting cases than any of the others, and though it too is heuristic, it is rational, being the first of a sequence of approximations that converges to a solution if it converges. Chimeras are the solutions of the equations of the neoclassical approximation; there are a number of exact ones, to be exhibited here, that describe phase-shocks, self-focused beams, and localized wave packets that travel, without change of shape, at an arbitrary uniform velocity less than one.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1970
- Accession Number
- AD0709431
Entities
People
- Frederic Bisshopp
Organizations
- Brown University