Exact Linearization and Invariant Solutions of the Generalized Burgers Equation with Linear Damping and Variable Viscosity

The generalized Burgers equation with linear damping and variable viscosity is subjected to Lie's classical method. Five distinct expressions for the variable viscosity are identified. Both the reduced ordinary differential equations and their corresponding Euler‐Painlevé transcendents admit fi...

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Veröffentlicht in:	Studies in applied mathematics (Cambridge) 2006-08, Vol.117 (2), p.95-108
Hauptverfasser:	Vaganan, B. Mayil, Kumaran, M. Senthil
Format:	Artikel
Sprache:	eng
Schlagworte:	Burgers equation Differential equations Exact sciences and technology Exact solutions Integrals Invariants Linear damping Linear equations Mathematical analysis Mathematical problems Mathematics Ordinary differential equations Partial differential equations Sciences and techniques of general use Solutions Studies Viscosity
Online-Zugang:	Volltext
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