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

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Parent link:Russian Physics Journal
Vol. 60, iss. 9.— 2018.— [P. 1461-1468]
Hlavní autor: Shapovalov A. V. Aleksandr Vasilyevich
Korporativní autor: Национальный исследовательский Томский политехнический университет Исследовательская школа физики высокоэнергетических процессов
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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
Jazyk:angličtina
Vydáno: 2018
Témata:
On-line přístup:https://doi.org/10.1007/s11182-018-1236-6
Médium: Elektronický zdroj Kapitola
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666949