🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

Solutions to Non-linear Euler-Poisson-Darboux Equations by Means of Generalized Separation of Variables


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

This paper examines solutions to some non-linear equations which generalize well-known equations such as the Euler-Poisson-Darboux equation, the Kolmogorov-Petrovsky-Piskunov equation and telegraph-type equations. The method of generalized separation of variables is here used to derive new exact solutions to these equations.

About the authors

R. Garra

Department of Statistical Sciences

Author for correspondence.
Email: roberto.garra@sbai.uniroma1.it
Italy, Rome, 00185

E. Orsingher

Department of Statistical Sciences

Author for correspondence.
Email: enzo.orsingher@uniroma1.it
Italy, Rome, 00185

E. L. Shishkina

Applied Mathematics, Informatics and Mechanics Faculty

Author for correspondence.
Email: ilina_dico@mail.ru
Russian Federation, Voronezh, 394006

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Pleiades Publishing, Ltd.