Approximate Solutions of the One-Dimensional Fisher–Kolmogorov–Petrovskii– Piskunov Equation with Quasilocal Competitive Losses; Russian Physics Journal; Vol. 60, iss. 9

Approximate Solutions of the One-Dimensional Fisher–Kolmogorov–Petrovskii– Piskunov Equation with Quasilocal Competitive Losses; Russian Physics Journal; Vol. 60, iss. 9

Bibliographic Details
Parent link:Russian Physics Journal
Vol. 60, iss. 9.— 2018.— [P. 1461-1468]
Main Author: Shapovalov A. V. Aleksandr Vasilyevich
Corporate Author: Национальный исследовательский Томский политехнический университет Исследовательская школа физики высокоэнергетических процессов
Summary:Title screen
The modified Fisher–Kolmogorov–Petrovskii–Piskunov equation with quasilocal quadratic competitive losses and variable coefficients in the small nonlocality parameter approximation is reduced to an equation with a nonlinear diffusion coefficient. Within the framework of a perturbation method, equations are obtained for the first terms of an asymptotic expansion of an approximate solution of the reduced equation. Particular solutions in separating variables are considered for the equations determining the first terms of the asymptotic series. The problem is reduced to an elliptic integral and one linear, homogeneous ordinary differential equation.
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2018
Subjects:
электронный ресурс
труды учёных ТПУ
Fisher–Kolmogorov–Petrovskii–Piskunov equation
quasilocal competitive losses
perturbation method
separation of variables
Online Access:https://doi.org/10.1007/s11182-018-1236-6
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666949

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