Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane

Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane–Emden System

Published:2018-10-15 Issue:12 Volume:13 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Muatjetjeja Ben¹,Mogorosi Tshepo E.²

Affiliation:

1. Faculty of Science, Department of Mathematics, University of Botswana, Private Bag 22 Gaborone, Botswana e-mail:

2. Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa e-mail:

Abstract

This paper aims to perform a complete Noether symmetry analysis of a generalized hyperbolic Lane–Emden system. Several constraints for which Noether symmetries exist are derived. In addition, we construct conservation laws associated with the admitted Noether symmetries. Thereafter, we briefly discuss the physical meaning of the derived conserved vectors.

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/10.1115/1.4041417/6112098/cnd_013_12_121002.pdf

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