Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy

Autor:	Andrei D. Polyanin, Vsevolod G. Sorokin
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	nonlinear reaction–diffusion equations pantograph-type differential equations PDEs with proportional delay PDEs with varying delay partial functional-differential equations exact solutions Mathematics QA1-939
Zdroj:	Mathematics, Vol 9, Iss 5, p 511 (2021)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math9050511
Popis:	We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the unknown u=u(x,t), also contain the same functions with dilated or contracted arguments of the form w=u(px,t), w=u(x,qt), and w=u(px,qt), where p and q are the free scaling parameters (for equations with proportional delay we have 0
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/213180aac47441c4a8b93173485f3b57 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF