Abstract
Some recent results on a class of generalised Burgers’ equations (GBE) are reviewed. Characteristically they reduce to nonlinear Euler-Painlevé equations, on similarity reduction, possessing single hump type solution. GBE’s with variable viscosity coefficients are briefly discussed. It is pointed out that the Korteweg-de Vries type equations and GBE’s behave somewhat analogously in their self-similar forms.
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References
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© 1988 Springer-Verlag Berlin Heidelberg
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Sachdev, P.L. (1988). Generalised Burgers Equations and Connection Problems for Euler-Painlevé Transcendents. In: Lakshmanan, M. (eds) Solitons. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73193-8_9
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DOI: https://doi.org/10.1007/978-3-642-73193-8_9
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