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research-article

Variational principle and conservation laws of a generalized hyperbolic Lane-Emden system

[+] Author and Article Information
Ben Muatjetjeja

Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa
Ben.Muatjetjeja@nwu.ac.za

Tshepo Mogorosi

Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa
tshepo.e.mogorosi@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4041417 History: Received April 14, 2018; Revised August 30, 2018

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.

Copyright (c) 2018 by ASME
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