(Phi Sup 4)Sub 4 - Wavepackets. Addendum.
Abstract
In the previous paper (AD-713 998) the question of existence of spherically symmetric wavepackets governed by the nonlinear wave equation (phi sub tt) - (phi sub rr) - (2/r)(phi sub r) + lambda (phi cubed) = zero was considered in the four cases where phi is either independent of t or a periodic function of t and where lambda is either plus or minus one. In the first case ((phi sub t) is identically = 0, lambda = 1) it was shown that there are no wavepackets; in the second and third cases (lambda = -1) the existence of wavepackets was demonstrated, and in the last case some heuristic arguments were presented in support of the conjecture that wavepackets exist. The last existence proof is completed here. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1971
- Accession Number
- AD0729020
Entities
People
- Frederic Bisshopp
Organizations
- Brown University