Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/particular-solutions-of-equations-with-multiple-characteristics-PsmyVqrXHf
References
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
- Publisher
- de Gruyter
- Copyright
- © 2021 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 1572-9176
- eISSN
- 1572-9176
- DOI
- 10.1515/gmj-2021-2111
- Publisher site
- See Article on Publisher Site
Abstract
AbstractIn the paper, similarity solutions are constructed for a model equation with multiple characteristics of an arbitrary integer order. It is shown that the structure of similarity solutions depends on the mutual simplicity of the orders of derivatives with respect to the variable x and y, respectively. Frequent cases are considered in which they are shown as fundamental solutions of well-known equations, expressed in a linear way through the constructed similarity solutions.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Apr 1, 2022
Keywords: High-order equation; multiple characteristics; fundamental solution; similarity solutions; generalized hypergeometric function; 42C10; 35C05