Rao, Ch. Srinivasa ; Sachdev, P. L. ; Ramaswamy, Mythily (2003) Self-similar solutions of a generalized Burgers equation with nonlinear damping Nonlinear Analysis: Real World Applications, 4 (5). pp. 723-741. ISSN 1468-1218
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S14681...
Related URL: http://dx.doi.org/10.1016/S1468-1218(02)00083-4
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: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Generalized Burgers Equation; Self-similar Solution; Connection Problem; Shooting Argument |
| ID Code: | 33837 |
| Deposited On: | 30 Mar 2011 13:37 |
| Last Modified: | 30 Mar 2011 13:37 |
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