Email this article Solutions to Non-linear Euler-Poisson-Darboux Equations by Means of Generalized Separation of Variables
- Authors: Garra R.1, Orsingher E.1, Shishkina E.L.2
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Affiliations:
- Department of Statistical Sciences
- Applied Mathematics, Informatics and Mechanics Faculty
- Issue: Vol 40, No 5 (2019)
- Pages: 640-647
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204436
- DOI: https://doi.org/10.1134/S1995080219050093
- ID: 204436
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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
