Inlämning av Examensarbete / Submission of Thesis

Dai Jiayuan , pp. 27. ING/School of Engineering, 2012.

The work

Författare / Author: Dai Jiayuan
djy432@gmail.com
Titel / Title: Equivalence Group of Lie's Second-Order Equation of Type III
Översatt titel / Translated title: Equivalence Group of Lie's Second-Order Equation of Type III
Abstrakt Abstract:

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. In this thesis, Lie's second-order equation of type III is considered from the point of view of equivalence transformations. The generators of the equivalence group and the principal Lie algebra are calculated.

Ämnesord / Subject: Mathematics\Analysis
Mathematics\General
Nyckelord / Keywords: equivalence transformation, second-order ordinary differential equation, principal Lie algebra

Publication info

Dokument id / Document id: houn-8szn4k
Program:/ Programme Mathematical Modelling and Simulation
Registreringsdatum / Date of registration: 04/03/2012
Uppsatstyp / Type of thesis: Masterarbete/Master's Thesis (120 credits)

Context

Handledare / Supervisor: Prof. Nail H. Ibragimov
nailhib@gmail.com
Examinator / Examiner: Dr. Raisa Khamitova
Organisation / Organisation: Blekinge Institute of Technology
Institution / School: ING/School of Engineering

+46 455 38 50 00

Files & Access

Bifogad uppsats fil(er) / Files attached: bth2012dai.pdf (247 kB, öppnas i nytt fönster)