Solutions of a system of forced Burgers equation

Yadav, Manoj K (2013) Solutions of a system of forced Burgers equation. In: Applied Mathematics and Computation, 225 . pp. 151-157.

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Abstract

In this article, we obtain explicit solutions of a system of forced Burgers equation subject to some classes of bounded and compactly supported initial data and also subject to certain unbounded initial data. In a series of papers, Rao and Yadav (2010) 1-3] obtained explicit solutions of a nonhomogeneous Burgers equation in one dimension subject to certain classes of bounded and unbounded initial data. Earlier Kloosterziel (1990) 4] represented the solution of an initial value problem for the heat equation, with initial data in L-2 (R-n, e(vertical bar x vertical bar 2/2)), as a series of self-similar solutions of the heat equation in R-n. Here we express the solutions of certain classes of Cauchy problems for a system of forced Burgers equation in terms of self-similar solutions of some linear partial differential equations. (C) 2013 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Publication:	Applied Mathematics and Computation
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Keywords:	Forced Burgers Equation; Hermite Functions; Self-Similar Solutions
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	13 Jan 2014 09:46
Last Modified:	13 Jan 2014 09:46
URI:	http://eprints.iisc.ac.in/id/eprint/48101

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