Nonlinear Diffusive Waves

ISBN: 9780521093033 出版年：1987 页码：255 P L Sachdev Cambridge University Press

This monograph deals with Burgers' equation and its generalisations. Such equations describe a wide variety of nonlinear diffusive wave phenomena, for instance, in atmospheric physics, plasma physics, nonlinear acoustics and laser physics. The Burgers equation also has mathematical interest as a nonlinear parabolic differential equation which can be exactly linearised. It is closely related to equations that display soliton behaviour and its study has helped elucidate other such nonlinear behaviour. The approach adopted here is applied and the author discusses fully the mathematical properties of standard nonlinear diffusion equations and contrasts them with those of Burgers' equation.