# Accession Number:

## AD0729020

# Title:

## (Phi Sup 4)Sub 4 - Wavepackets. Addendum.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

# Personal Author(s):

# Report Date:

## 1971-07-01

# Pagination or Media Count:

## 14.0

# 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 - 2rphi 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

# Descriptors:

# Subject Categories:

- Numerical Mathematics
- Quantum Theory and Relativity