Conditional symmetries of nonlinear third-order ordinary differential equations
| Autor: | Chaudry Masood Khalique, Aeeman Fatima, Fazal M. Mahomed |
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| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Differential equation Applied Mathematics 010102 general mathematics 02 engineering and technology Exponential integrator 01 natural sciences Integrating factor Stochastic partial differential equation Examples of differential equations Ordinary differential equation 0202 electrical engineering electronic engineering information engineering Discrete Mathematics and Combinatorics 020201 artificial intelligence & image processing 0101 mathematics C0-semigroup Analysis Mathematics Separable partial differential equation |
| Zdroj: | Discrete & Continuous Dynamical Systems - S. 11:655-666 |
| ISSN: | 1937-1179 |
| DOI: | 10.3934/dcdss.2018040 |
| Popis: | In this work, we take as our base scalar second-order ordinary differential equations (ODEs) which have seven equivalence classes with each class possessing three Lie point symmetries. We show how one can calculate the conditional symmetries of third-order non-linear ODEs subject to root second-order nonlinear ODEs which admit three point symmetries. Moreover, we show when scalar second-order ODEs taken as first integrals or conditional first integrals are inherited as Lie point symmetries and as conditional symmetries of the derived third-order ODE. Furthermore, the derived scalar nonlinear third-order ODEs without substitution are considered for their conditional symmetries subject to root second-order ODEs having three symmetries. |
| Databáze: | OpenAIRE |
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