Symmetries,Conservation Laws and Multipliers via Partial Lagrangians and Noether’s Theorem for Classically Non-Variational Problems |
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| Authors: | D. N. Khan Marwat A. H. Kara F. M. Mahomed |
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| Affiliation: | (1) Department of Mathematics, COMSATS Institute of Information Technology, H-8, Islamabad, Pakistan;(2) School of Mathematics, Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits, 2050, South Africa;(3) School of Computational & Applied Mathematics, Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits, 2050, South Africa |
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| Abstract: | ![]()
We show how one can construct conservation laws of equations that are not variational but are Euler–Lagrange in part using Noether-type symmetries associated with partial Lagrangians. These Noether-type symmetries are, usually, not symmetries of the system. The resultant construction of the conservation law resorts to a formula equivalent to Noether’s theorem. A variety of examples are given. |
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