SINGULARITIES IN SOLUTIONS OF BURGERS-EQUATION

Citation
Ay. Kamenshchik et al., SINGULARITIES IN SOLUTIONS OF BURGERS-EQUATION, Physics letters. A, 232(1-2), 1997, pp. 87-90
Citations number
9
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
232
Issue
1-2
Year of publication
1997
Pages
87 - 90
Database
ISI
SICI code
0375-9601(1997)232:1-2<87:SISOB>2.0.ZU;2-8
Abstract
The possibility of singularities arising in Burgers' equation is discu ssed and some arguments are put forward in favour of the suggestion th at non-singular initial conditions cannot produce the singularity in t he process of time evolution in real time. However, consideration of c omplex time supplies us with examples of the appearance of singulariti es. The broad class of exactly integrable initial conditions for Burge rs' equation is presented. (C) 1997 Elsevier Science B.V.