New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation

Gülden Gün Polat; Teoman Özer

doi:10.1115/1.4035408

New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation

Gülden Gün Polat, Teoman Özer^*

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Istanbul Technical University

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

7 Atıf (Scopus)

Özet

This 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.

Orijinal dil	İngilizce
Makale numarası	041001
Dergi	Journal of Computational and Nonlinear Dynamics
Hacim	12
Basın numarası	4
DOI'lar	https://doi.org/10.1115/1.4035408
Yayın durumu	Yayınlandı - 1 Tem 2017

Bibliyografik not

Publisher Copyright:
Copyright © 2017 by ASME.

Belgeye Erişim

10.1115/1.4035408

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Alıntı Yap

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title = "New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation",

abstract = "This 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.",

keywords = "first integrals, Jacobi last multipliers, Lagrangians, modified Emden equation, Prelle-Singer method, λ-symmetries",

author = "{G{\"u}n Polat}, G{\"u}lden and Teoman {\"O}zer",

note = "Publisher Copyright: Copyright {\textcopyright} 2017 by ASME.",

year = "2017",

month = jul,

day = "1",

doi = "10.1115/1.4035408",

language = "English",

volume = "12",

journal = "Journal of Computational and Nonlinear Dynamics",

issn = "1555-1423",

publisher = "The American Society of Mechanical Engineers(ASME)",

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TY - JOUR

T1 - New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation

AU - Gün Polat, Gülden

AU - Özer, Teoman

PY - 2017/7/1

Y1 - 2017/7/1

N2 - This 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.

AB - This 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.

KW - first integrals

KW - Jacobi last multipliers

KW - Lagrangians

KW - modified Emden equation

KW - Prelle-Singer method

KW - λ-symmetries

UR - http://www.scopus.com/inward/record.url?scp=85009967856&partnerID=8YFLogxK

U2 - 10.1115/1.4035408

DO - 10.1115/1.4035408

M3 - Article

AN - SCOPUS:85009967856

SN - 1555-1423

VL - 12

JO - Journal of Computational and Nonlinear Dynamics

JF - Journal of Computational and Nonlinear Dynamics

IS - 4

M1 - 041001

ER -

New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation

Özet

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Belgeye Erişim

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