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arxiv: math-ph/0501065 · v1 · submitted 2005-01-26 · 🧮 math-ph · math.MP

Nonclassical symmetry and Riemann invariants

classification 🧮 math-ph math.MP
keywords nonclassicalinvariantsriemannsymmetriesunderanotherequationsexample
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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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