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Construction of Conservation Laws Using Symmetries
[chapter]

2014
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Similarity and Symmetry Methods
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The concept of nonlinear self-adjointness of differential equations, introduced by the author in 2010, is discussed in detail. All linear equations and systems are nonlinearly self-adjoint. Moreover, the class of nonlinearly self-adjoint equations includes all nonlinear equations and systems having at least one local conservation law. It follows, in particular, that the integrable systems possessing infinite set of Lie-Bäcklund symmetries (higher-order tangent transformations) are nonlinearly

doi:10.1007/978-3-319-08296-7_2
fatcat:2axnzj4drrfspo7ly5pfo6jr4y