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

Abstract

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.

10 pages

References in corpus (3)

• Conservation laws and normal forms of evolution equations
• Energy invariant for shallow water waves and the Korteweg -- de Vries equation. Is energy always an invariant?
• Recursion Operators for Multidimensional Integrable PDEs

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