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Analysis of the Self-similar Solutions of a Generalized Burgers Equation with Nonlinear Damping
, Sachdev P.L., Ramaswamy M.
Published in Taylor and Francis Inc.
2001
Volume: 7
   
Issue: 3
Pages: 253 - 282
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 non-existence of positive bounded solutions with different types of decay (exponential or algebraic) to zero at infinity for specific parameter ranges are proved.
About the journal
JournalData powered by TypesetMathematical Problems in Engineering
PublisherData powered by TypesetTaylor and Francis Inc.
ISSN1024123X
Open AccessNo