Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Decomposing and solving quasilinear secondorder differential equations
 ACM communications in computer algebra 50 (2016), Nr.3, S.7382 ISSN: 19322232 ISSN: 19322240 

 Englisch 
 Zeitschriftenaufsatz 
 Fraunhofer SCAI () 
Abstract
Decompositions of linear ordinary differential equations (ode's) into components of lower order have successfully been employed for determining its solutions. Here this method is generalized to certain classes of quasilinear equations of second order, i.e. equations that are linear w.r.t. the second derivative, and rational otherwise. Often it leads to simple expressions for the general solution that hardly can be obtained otherwise, i.e. it is a genuine extension of Lie's symmetry analysis. Due to its efficiency it is suggested that it is applied always as a first step in an ode solver.