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Conservation laws and symmetries of a generalized Kawahara equation

Gandarias, Maria Luz ; Rosa, Maria ; Recio, Elena ; Anco, Stephen Ntalianis, Klimis

AIP Conference Proceedings, 2017, Vol.1836 (1) [Periódico revisado por pares]

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Título:
Conservation laws and symmetries of a generalized Kawahara equation
Autor: Gandarias, Maria Luz ; Rosa, Maria ; Recio, Elena ; Anco, Stephen
Ntalianis, Klimis
Assuntos: Conservation laws
É parte de: AIP Conference Proceedings, 2017, Vol.1836 (1)
Descrição: The generalized Kawahara equation u t = a(t)u xxxxx + b(t)u xxx + c(t) f (u)u x appears in many physical applications. A complete classification of low-order conservation laws and point symmetries is obtained for this equation, which includes as a special case the usual Kawahara equation u t = αuu x + βu 2 u x + γu xxx + μu xxxxx . A general connection between conservation laws and symmetries for the generalized Kawahara equation is derived through the Hamiltonian structure of this equation and its relationship to Noether’s theorem using a potential formulation.
Editor: Melville: American Institute of Physics
Idioma: Inglês

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