Slow travelling wave solutions of the nonlocal Fisher-KPP equation
نویسندگان
چکیده
منابع مشابه
Asymptotic solutions of the 1D nonlocal Fisher-KPP equation
Two analytical methods have been developed for constructing approximate solutions to a nonlocal generalization of the 1D Fisher– Kolmogorov–Petrovskii–Piskunov equation. This equation is of special interest in studying the pattern formation in microbiological populations. In the greater part of the paper, we consider in detail a semiclassical approximation method based on the WKB–Maslov theory ...
متن کاملTravelling Wave Solutions and Conservation Laws of Fisher-Kolmogorov Equation
Lie symmetry group method is applied to study the Fisher-Kolmogorov equation. The symmetry group is given, and travelling wave solutions are obtained. Finally the conservation laws are determined.
متن کاملAn Exactly Solvable Travelling Wave Equation in the Fisher–KPP Class
For a simple one dimensional lattice version of a travelling wave equation, we obtain an exact relation between the initial condition and the position of the front at any later time. This exact relation takes the form of an inverse problem: given the times tn at which the travelling wave reaches the positions n, one can deduce the initial profile.We show, bymeans of complex analysis, that a num...
متن کاملOn Bounded Positive Stationary Solutions for a Nonlocal Fisher-KPP Equation
We study the existence of stationary solutions for a nonlocal version of the FisherKolmogorov-Petrovskii-Piscounov (FKPP) equation. The main motivation is a recent study by Berestycki et al. [Nonlinearity 22 (2009), pp. 2813–2844] where the nonlocal FKPP equation has been studied and it was shown for the spatial domain R and sufficiently small nonlocality that there are only two bounded non-neg...
متن کاملConvergence to a single wave in the Fisher-KPP equation
We study the large time asymptotics of a solution of the Fisher-KPP reaction-diffusion equation, with an initial condition that is a compact perturbation of a step function. A well-known result of Bramson states that, in the reference frame moving as 2t− (3/2) log t+x∞, the solution of the equation converges as t→ +∞ to a translate of the traveling wave corresponding to the minimal speed c∗ = 2...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinearity
سال: 2020
ISSN: 0951-7715,1361-6544
DOI: 10.1088/1361-6544/ab6f4f