Analysis of the self-similar solutions of a generalized Burger's equation with nonlinear damping

Ch. Srinivasa Rao, P. L. Sachdev and Mythily Ramaswamy

Mathematical Problems in Engineering, 2001, vol. 7, 1-30

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 initial conditions at the origin we observe a wide variety of solutions – (positive) single hump, unbounded or those with a finite zero. The existence and nonexistence of positive bounded solutions with different types of decay (exponential or algebraic) to zero at infinity for specific parameter ranges are proved.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:254304

DOI: 10.1155/S1024123X01001648

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