A Discrete Spectrum of Solutions of the Wave Equation with Strong Cubic Nonlinearity.
Abstract
The nonlinear wave equation, (phi sub tt) - delta phi + (phi sup 3) = 0, has many solutions that are periodic in time and localized in space, all with infinite energies. The search for spherically symmetric solutions that are well represented by the simple approximation, phi(r,t) about = A(r) sin omega t, leads to a discrete spectrum of solutions (phi sub N(r,t;omega)). These solutions are discussed in the report. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1973
- Accession Number
- AD0776985
Entities
People
- Frederic E. Bisshopp
Organizations
- Brown University