Nonclassical symmetry and Riemann invariants
arXiv:math-ph/0501065 · doi:10.1016/j.ijnonlinmec.2005.07.005
Abstract
In this paper it is shown that Riemann invariants are invariant under nonclassical symmetries of a hyperbolic system. As a specific example, we study the one-dimensional shallow water equations on the flat and present another type invariance under nonclassical symmetries.
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