Quasiparticles for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation

Quasiparticles for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation

Bibliografiske detaljer
Parent link:	Physica Scripta.— .— Bristol: IOP Publishing Ltd. Vol. 99, No. 4.— 2024.— Article number 045228, 15 p.
Hovedforfatter:	Kulagin A. E. Anton Evgenievich
Institution som forfatter:	National Research Tomsk Polytechnic University
Andre forfattere:	Shapovalov A. V. Aleksandr Vasilyevich
Summary:	Title screen We construct quasiparticles-like solutions to the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov (FKPP) with a nonlocal nonlinearity using the method of semiclassically concentrated states in the weak diffusion approximation. Such solutions are of use for predicting the dynamics of population patterns using analytical or semi-analytical approach. The interaction of quasiparticles stems from nonlocal competitive losses in the FKPP model. We developed the formalism of our approach relying on ideas of the Maslov method. The construction of the asymptotic expansion of a solution to the original nonlinear evolution equation is based on solutions to an auxiliary dynamical system of ODEs. The asymptotic solutions for various specific cases corresponding to various spatial profiles of the reproduction rate and nonlocal competitive losses are studied within the framework of the approach proposed Текстовый файл AM_Agreement
Sprog:	engelsk
Udgivet:	2024
Fag:	электронный ресурс труды учёных ТПУ reduced graphene oxide thermoplastic polymers graphene polymer composites laser-induced polymer composites flexible electronics
Online adgang:	https://doi.org/10.1088/1402-4896/ad302c
Format:	Electronisk Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=672159

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