Research Papers

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

[+] Author and Article Information
Ben Muatjetjeja

Faculty of Science,
Department of Mathematics,
University of Botswana,
Private Bag 22 Gaborone, Botswana
e-mail: Muatjetjeja.Ben@gmail.com

Tshepo E. Mogorosi

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

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received April 14, 2018; final manuscript received August 30, 2018; published online October 15, 2018. Assoc. Editor: Dumitru Baleanu.

J. Comput. Nonlinear Dynam 13(12), 121002 (Oct 15, 2018) (7 pages) Paper No: CND-18-1162; doi: 10.1115/1.4041417 History: Received April 14, 2018; Revised August 30, 2018

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.

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