Accession Number : AD0776985

Title :   A Discrete Spectrum of Solutions of the Wave Equation with Strong Cubic Nonlinearity.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Bisshopp,Frederic E.

Report Date : MAY 1973

Pagination or Media Count : 49

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)

Descriptors :   *Wave equations, *Partial differential equations, *Nonlinear differential equations, *Relativity theory, Cauchy problem, Calculus of variations, Numerical integration

Subject Categories : Numerical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE