Abstract
One of the motivations for studying travelling-wave solutions of equations of the class (1.1) is that these solutions may be used as a tool for determining the properties of an arbitrary solution of the partial differential equation. As one illustration we mention the characterization of finite speed of propagation using semiwavefront solutions in [126,127]; as another, the characterization of complete and incomplete blow-up in diffusion-reaction processes dependent upon whether or not the equation admits an unbounded strict semi-wavefront solution in [114].
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© 2004 Springer Basel AG
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Gilding, B.H., Kersner, R. (2004). Unbounded waves. In: Gilding, B.H., Kersner, R. (eds) Travelling Waves in Nonlinear Diffusion-Convection Reaction. Progress in Nonlinear Differential Equations and Their Applications, vol 60. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7964-4_11
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DOI: https://doi.org/10.1007/978-3-0348-7964-4_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9638-2
Online ISBN: 978-3-0348-7964-4
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