P G L Leach
Articles written in Proceedings – Mathematical Sciences
Volume 120 Issue 1 February 2010 pp 113-130
Symmetries, Integrals and Solutions of Ordinary Differential Equations of Maximal Symmetry
P G L Leach R R Warne N Caister V Naicker N Euler
Second-and third-order scalar ordinary differential equations of maximal symmetry in the traditional sense of point, respectively contact, symmetry are examined for the mappings they produce in solutions and fundamental first integrals. The properties of the `exceptional symmetries’, i.e. those not considered to be generic to scalar equations of maximal symmetry, can be recast into a form which is applicable to all such equations of maximal symmetry. Some properties of these symmetries are demonstrated.
Volume 133, 2023
All articles
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode
© 2022-2023 Indian Academy of Sciences, Bengaluru.