Self-similar solutions of a generalized Burgers equation with nonlinear damping

Rao, Ch Srinivasa and Sachdev, PL and Ramaswamy, Mythily (2003) Self-similar solutions of a generalized Burgers equation with nonlinear damping. In: Nonlinear Analysis: Real World Applications, 4 (5). pp. 723-741.

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Abstract

The nonlinear ordinary differential equation resulting from the self-similar reduction of a generalized Burgers equation with nonlinear damping is studied in some detail. Assuming certain asymptotic conditions at plus infinity or minus infinity, we find a wide variety of solutions(positive) single hump, monotonic (bounded or unbounded) or solutions with a finite zero. The existence or non-existence of positive bounded solutions with exponential decay to zero at infinity for specific parameter ranges is proved. The analysis relies mainly on the shooting argument.

Item Type:	Journal Article
Publication:	Nonlinear Analysis: Real World Applications
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science
Keywords:	generalized Burgers equation;self-similar solution; connection problem;shooting argument.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	25 Nov 2009 07:29
Last Modified:	19 Sep 2010 04:56
URI:	http://eprints.iisc.ac.in/id/eprint/17340

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