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contributor authorGün Polat, Gülden
contributor authorÖzer, Teoman
date accessioned2017-11-25T07:20:22Z
date available2017-11-25T07:20:22Z
date copyright2017/19/1
date issued2017
identifier issn1555-1415
identifier othercnd_012_04_041001.pdf
identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4236404
description abstractThis study deals with the determination of Lagrangians, first integrals, and integrating factors of the modified Emden equation by using Jacobi and Prelle–Singer methods based on the Lie symmetries and λ-symmetries. It is shown that the Jacobi method enables us to obtain Jacobi last multipliers by means of the Lie symmetries of the equation. Additionally, via the Lie symmetries of modified Emden equation, we analyze some mathematical connections between λ-symmetries and Prelle–Singer method. New and nontrivial Lagrangian forms, conservation laws, and exact solutions of the equation are presented and discussed.
publisherThe American Society of Mechanical Engineers (ASME)
titleNew Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation
typeJournal Paper
journal volume12
journal issue4
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4035408
journal fristpage41001
journal lastpage041001-15
treeJournal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 004
contenttypeFulltext


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