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arxiv: 1511.03975 · v1 · pith:FXJC26GAnew · submitted 2015-11-12 · 🧮 math-ph · math.MP

Symmetries and conservation laws for the Karczewska--Rozmej--Rutkowski--Infeld equation

classification 🧮 math-ph math.MP
keywords equationsymmetriesconservationgeneralizedkarczewska--rozmej--rutkowski--infeldlawschannelcomplete
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We give a complete description of generalized symmetries and local conservation laws for the fifth-order Karczewska--Rozmej--Rutkowski--Infeld equation describing shallow water waves in a channel with variable depth. In particular, we show that this equation has no genuinely generalized symmetries and thus is not symmetry integrable.

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