This monograph has grown out of research we started in 1987, although the foun dations
were laid in the 1970's when both of us were working on our doctoral theses, trying to …

In the present book the reader will find a review of methods for constructing a certain class of
asymptotic solutions, which we call self-stabilizing solutions. This class includes solitons …

In this paper we study the existence of travelling wave solutions (tws), u (x, t)= φ (x− ct) for
the equation [formula]+ g (u),(*) where the reactive part g (u) is as in the Fisher-KPP …

In this paper we use a dynamical systems approach to prove the existence of a unique
critical value c* of the speed c for which the degenerate density-dependent diffusion …

This paper investigates the effects of a degenerate diffusion term in reaction–diffusion
models ut=[D (u) ux] x+ g (u) with Fisher-KPP type g. Both in the case when D (0)= 0 and …

Nonclassical symmetry methods are used to study the nonlinear diffusion equation with a
nonlinear source. In particular, exponential and power law diffusivities are examined and we …

Since the work of RA Fisher [2] and Kolmogorov, Petrovskij and Piskunov [7](see [6] for
further references) the problem of travelling fronts in reaction–diffusion equations has been …

In this paper we study the existence of one-dimensional travelling wave solutions u (x, t)= φ
(x− ct) for the non-linear degenerate (at u= 0) reaction-diffusion equation ut=[D (u) ux] x+ g …

We study traveling wave solutions for a reaction–diffusion model, introduced in the article
Calvez et al.(Regime switching on the propagation speed of travelling waves of some size …

Analytic solutions of the Nagumo equation Page 1 IMA Journal of Applied Mathematics (1992)
48, 107-115 Analytic solutions of the Nagumo equation CHEN ZHI-XIONG Shanghai Jiao Tong …