Nonclassical symmetry and Riemann invariants

Details Nonclassical symmetry and Riemann invariants Nonclassical symmetry and Riemann invariants

2005-01-26

arxiv.org/abs/math-ph/0501065v1

Physics

Mathematical Physics

7 pages. Submitted to

Scientific paper

10.1016/j.ijnonlinmec.2005.07.00

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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