Integration of systems of two second-order ordinary differential equations with a small parameter that admit four essential operators
A Gainetdinova, RK Gazizov - … электронные математические известия, 2020 - mathnet.ru
We discuss an algorithm for integrating systems of two second-order ordinary differential
equations (ODE) with a small parameter that admit approximate Lie algebras with four …
equations (ODE) with a small parameter that admit approximate Lie algebras with four …
Some Invariant Solutions of Two Dimensional Heat Equation
M Aripov, O Narmanov - Montes Taurus Journal of Pure and …, 2021 - mtjpamjournal.com
The symmetry group of a differential equation is the group of transformations which
transform solutions of the differential equation to solutions. For systems of partial differential …
transform solutions of the differential equation to solutions. For systems of partial differential …
Инвариантные решения двумерного уравнения теплопроводности
ОА Нарманов - Вестник Удмуртского университета. Математика …, 2019 - mathnet.ru
Группой симметрии данного дифференциального уравнения называется группа
преобразований, которые переводят решения уравнения в решения. Если известны …
преобразований, которые переводят решения уравнения в решения. Если известны …
Symbolic and Numerical Methods for Searching Symmetries of Ordinary Differential Equations with a Small Parameter and Reducing Its Order
AA Kasatkin, AA Gainetdinova - … , CASC 2019, Moscow, Russia, August 26 …, 2019 - Springer
Two programs for computer algebra systems are described that deal with Lie algebras of
generators admitted by systems of ordinary differential equations (ODEs). The first one …
generators admitted by systems of ordinary differential equations (ODEs). The first one …