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 |
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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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