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- W4240218658 abstract "This paper draws attention to the role played by symmetry in the applied mathematics of mechanics and, in particular, to the way it influences both the nature of the solution and the way solutions can be found. It attempts to show that while geometrical symmetry can always be used to advantage when seeking solutions, it is the structural symmetry within the governing system of equations that has the most far reaching influence on the nature of solutions. While the effect of geometrical symmetry is easily appreciated, the structural symmetry of a system of differential equations is described in terms of Lie algebras so its occurrence is less obvious. Never the less, it is structural symmetry that has the most significant implications for the nature of solutions, including as it does as special cases, similarity solutions, travelling wave solutions, soliton behaviour, Bäcklund transformations and Hamiltonian systems." @default.
- W4240218658 created "2022-05-12" @default.
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- W4240218658 date "1998-06-01" @default.
- W4240218658 modified "2023-09-23" @default.
- W4240218658 title "Structural Symmetries and Solutions of Nonlinear Mechanical Systems" @default.
- W4240218658 doi "https://doi.org/10.1002/(sici)1521-4001(199806)78:6<373::aid-zamm373>3.3.co;2-a" @default.
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