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This is an accessible text on the advanced symmetry methods for differential equations. Topics covered include conservation laws, Lie-Backlund symmetries, contact transformations, nonlocal symmetries, nonlocal mappings and non-classical method.
This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries.
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