Exact solutions of the forced Burgers equation

Authors
Petrovskii, SV
Citation
Sv. Petrovskii, Exact solutions of the forced Burgers equation, TECH PHYS, 44(8), 1999, pp. 878-881
Citations number
14
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
TECHNICAL PHYSICS
ISSN journal
10637842 → ACNP
Volume
44
Issue
8
Year of publication
1999
Pages
878 - 881
Database
ISI
SICI code
1063-7842(199908)44:8<878:ESOTFB>2.0.ZU;2-7
Abstract
Two new methods for obtaining exact solutions of the initial-value problem on an unbounded straight line (the Cauchy problem) for the inhomogeneous Bu rgers equation are considered. They are applied to the cases of a stationar y and a transient external force. A self-similar solution and a solution wh ich describes the localization (blocking) of solitary traveling waves are o btained as examples. (C) 1999 American Institute of Physics. [S1063-7842(99 )00308-6].