Lie symmetries for Lie systems: Applications to systems of ODEs and PDEs
نویسندگان
چکیده
منابع مشابه
Lie Point Symmetries for Reduced Ermakov Systems
Reduced Ermakov systems are defined as Ermakov systems restricted to the level surfaces of the Ermakov invariant. The condition for Lie point symmetries for reduced Ermakov systems is solved yielding four infinite families of systems. It is shown that SL(2, R) always is a group of point symmetries for the reduced Ermakov systems. The theory is applied to a model example and to the equations of ...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2016
ISSN: 0096-3003
DOI: 10.1016/j.amc.2015.09.078