English

Nonclassical symmetry and Riemann invariants

Mathematical Physics 2009-11-11 v1 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0501065,
  title  = {Nonclassical symmetry and Riemann invariants},
  author = {Souichi Murata},
  journal= {arXiv preprint arXiv:math-ph/0501065},
  year   = {2009}
}

Comments

7 pages. Submitted to

R2 v1 2026-07-22T16:25:35.396Z