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- W2021330696 abstract "Abstract In this paper the general magma equation modelling a melt flow in the Earth’s mantle is discussed. Applying the new theorem on nonlocal conservation laws [Ibragimov NH. A new conservation theorem. J Math Anal Appl 2007;333(1):311–28] and using the symmetries of the model equation nonlocal conservation laws are computed. In accordance with Ibragimov [Ibragimov NH. Quasi-self-adjoint differential equations. Preprint in Archives of ALGA, vol. 4, BTH, Karlskrona, Sweden: Alga Publications; 2007. p. 55–60, ISSN: 1652-4934] it is shown that the general magma equation is quasi-self-adjoint for arbitrary m and n and self-adjoint for n = − m . These important properties are used for deriving local conservation laws." @default.
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- W2021330696 date "2009-11-01" @default.
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- W2021330696 title "Symmetries and nonlocal conservation laws of the general magma equation" @default.
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- W2021330696 doi "https://doi.org/10.1016/j.cnsns.2008.08.009" @default.
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