New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation-Reference-Cited by-同舟云学术

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

Published:2017-01-19 Issue:4 Volume:12 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Gün Polat Gülden¹,Özer Teoman²

Affiliation:

1. Faculty of Science and Letters, Department of Mathematics, İstanbul Technical University, Maslak, İstanbul 34469, Turkey

2. Faculty of Civil Engineering, Division of Mechanics, İstanbul Technical University, Maslak, İstanbul 34469, Turkey e-mail:

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.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4035408/6110101/cnd_012_04_041001.pdf

Reference42 articles.

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