Ordinary Differential Equations [chapter]

2016 Mathematics for Modeling and Scientific Computing  
The reduction of two nonlinear equations of the type 2u + F (u, u 1 )u 0 = 0 with respect to all rank three subalgebras of a subdirect sum of the extended Euclidean algebras AẼ(1) and AẼ(3) is carried out. Some new invariant exact solutions of these equations are obtained.
doi:10.1002/9781119371120.ch1 fatcat:bypxu64dtvdl3p3kotxuslgn4m