NDLI: Integration of third order ordinary differential equations possessing two-parameter symmetry group by Lie’s method

Content Provider	Springer Nature Link
Author	Nikolić, Mladen Rajković, Milan
Copyright Year	2006
Abstract	The solution of a class of third order ordinary differential equations possessing two parameter Lie symmetry group is obtained by group theoretic means. It is shown that reduction to quadratures is possible according to two scenarios: (1) if upon first reduction of order the obtained second order ordinary differential equation besides the inherited point symmetry acquires at least one more new point symmetry (possibly a hidden symmetry of Type II). (2) First, reduction paths of the fourth order differential equations with four parameter symmetry group leading to the first order equation possessing one known (inherited) symmetry are constructed. Then, reduction paths along which a third order equation possessing two-parameter symmetry group appears are singled out and followed until a first order equation possessing one known (inherited) symmetry are obtained. The method uses conditions for preservation, disappearance and reappearance of point symmetries.
Starting Page	17
Ending Page	27
Page Count	11
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	48
Issue Number	1-2
e-ISSN	1573269X
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2006-09-29
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Ordinary differential equations Symmetry Lie’s method Automotive and Aerospace Engineering, Traffic Mechanical Engineering Mechanics Vibration, Dynamical Systems, Control
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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