title: Integration of Differential Equations by Using Invariants of Discrete Transformation
metadata.name: dc.contributor.author
metadata.value: Khakimova, Zilya Nailevna
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Atojan, Ajkanush Ashotovna
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-12-02T17:53:05Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-12-02T17:53:05Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-09
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2024.308
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/48061
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Ordinary differential equations of the 2nd and 3rd orders with multiplicative right-hand sides of the 2nd and 3rd orders are studied. A method is considered for reducing the order of equations and obtaining exact solutions of differential equations using transformations that are invariants of generators of cyclic transformations discrete groups closed in the classes of differential equations under consideration. The method of discrete invariants is an alternative to the method of "multiplication" of integrable cases in the class of differential equations under study by using the constructed discrete group of transformations acting in this class of equations. Examples are given to illustrate the method of discrete invariants.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: Ordinary differential equation (ODE)
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: class of generalized Emden-Fowler equations (GEFE)
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: discrete group of transformations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: discrete group analysis (DGA)
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: exact solution of differential equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: discrete transformation invariant
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: concomitant
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Integration of Differential Equations by Using Invariants of Discrete Transformation
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 24308-jdecp-khakimova.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/48061/1/24308-jdecp-khakimova.pdf
resources.format: Adobe PDF
resources.size: 586,47 kB