شماره ركورد كنفرانس :
4036
عنوان مقاله :
Classification of n-th order ODEs under a given symmetry group
پديدآورندگان :
Lashkarian Elham lashkarian.elham@yahoo.com Shahrood university of technology , Saberi Elaheh - Shahrood university of technology , Hejaz S. Reza - Shahrood university of technology
كليدواژه :
ordinary differential equations , symmetry groups , Lie groups , prolongation.
عنوان كنفرانس :
معادلات ديفرانسيل و سيستم هاي ديناميكي
چكيده فارسي :
Classification of n−th order ordinary differential equations via a group of symmetries is
studied. The method of finding symmetries is given then, classifiaction of ODEs with oneparameter group is introduced. The procedure is developed for multi-parameter symmetry
group. Finally the method is applied in an exaple to classify ODEs up to order five via
projective Lie group SL(2).
