In this thesis, we first present a qualitative analysis to a nonlinear system under certain parametric conditions. Then for a special case, we make a series of variable transformation and apply the Prelle-Singer Method to find the first integrals of the simplified equations without complicated calculations. Through the inverse transformations we get the first integrals of the original equation. Finally, we use the same Prelle-Singer method to get the first integral for an extended nonlinear system.
Identifier / keyword
Pure sciences; First integrals; Nonlinear systems
Qualitative analysis to a nonlinear system
MAI 50/02M, Masters Abstracts International
Place of publication
Country of publication
Feng, Baofeng; Huber, Tim; Onica, Constantin
The University of Texas - Pan American
Department of Mathematics
United States -- Texas
Dissertations & Theses
ProQuest document ID
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.