Sökning: "principal Lie algebra"

Hittade 1 uppsats innehållade orden principal Lie algebra.

  1. 1. Equivalence Group of Lie's Second-Order Equation of Type III

    Master-uppsats, Blekinge Tekniska Högskola/Sektionen för ingenjörsvetenskap

    Författare :Dai Jiayuan; [2012]
    Nyckelord :equivalence transformation; second-order ordinary differential equation; principal Lie algebra;

    Sammanfattning : Based on symmetry and invariance principles, Lie group analysis is the only systematic method for solving nonlinear differential equations analytically. Nonlinear second-order ordinary differential equations admitting two-dimensional Lie algebras can be transformed into one of the four types of canonical forms via Lie's integration method. LÄS MER