Exact Solutions and Reductions of Nonlinear Diffusion PDEs of Pantograph Type

2021/03/02 by Andrei D. Polyanin, Polyanin, Andrei D., В. Г. Сорокин +1
Mathematics · Medicine · #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2103.01666

openalex publication_date 2021/03/02 · openalex created_date 2021/03/15 · openalex updated_date 2026/07/28

Abstract

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

Citations

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