Sánchez-Garduño, F. and Maini, P. K. and Kappos, E. (1996) *A review on travelling wave solutions of one-dimensional reaction diffusion equations with non-linear diffusion term.* FORMA, 11 (1). pp. 45-59.

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## Abstract

In this paper we review the existence of different types of travelling wave solutions of degenerate non-linear reaction-diffusion equations of the form for different density-dependent diffusion coefficients D and kinetic part g. These include the non-linear degenerate generalized Fisher-KPP and the Nagumo equations. Also, we consider an equation whose diffusion coefficient changes sign as the diffusive substance increases. This describes a diffusive-aggregative process. In this case the travelling wave solutions are explored and the ill-posedness of two boundary-value problems associated with the above equation is stated.

Item Type: | Article |
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Subjects: | A - C > Biology and other natural sciences |

Research Groups: | Centre for Mathematical Biology |

ID Code: | 467 |

Deposited By: | Philip Maini |

Deposited On: | 07 Dec 2006 |

Last Modified: | 20 Jul 2009 14:21 |

### Available Versions of this Item

- A review on travelling wave solutions of one-dimensional reaction diffusion equations with non-linear diffusion term. (deposited 07 Dec 2006)
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