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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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|
|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|
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