On the symmetry analysis and conservation laws of the (1 + 1)‐dimensional Hénon–Lane–Emden system |
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| Authors: | Ben Muatjetjeja |
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| Institution: | International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North‐West University, Mmabatho, South Africa |
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| Abstract: | We carry out a complete Lie symmetry analysis and Noether symmetry classification of the (1 + 1)‐dimensional H  non–Lane–Emden system. It is shown that the principal Lie algebra, which is one dimensional, extends in several cases. It is also shown that four main cases transpire in the Noether classification with respect to the Lagrangian. In addition, conservation laws for the H  non–Lane–Emden system are constructed. Furthermore, we briefly discuss the importance and the physical interpretation of these conserved vectors. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | lie symmetries lagrangian Noether operators conservation laws H
non– Lane– Emden system gauge function |
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non–Lane–Emden system. It is shown that the principal Lie algebra, which is one dimensional, extends in several cases. It is also shown that four main cases transpire in the Noether classification with respect to the Lagrangian. In addition, conservation laws for the H 
non–Lane–Emden system are constructed. Furthermore, we briefly discuss the importance and the physical interpretation of these conserved vectors. Copyright © 2016 John Wiley & Sons, Ltd.