Multifluid plasma equations in terms of hyperbolic octonions
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DOI: 10.1142/s0219887818500536
Abstract: Stimulating from the hyperbolic octonionic generalization of the Maxwell-type equations of compressible fluids, an alternative reformulation has been proposed for the analogous multifluid plasma equations. In this paper, using both the fluid and electromagnetic behavior… read more here.
Keywords: equations terms; terms hyperbolic; multifluid plasma; plasma equations ... See more keywords
Solutions of Some Diophantine Equations in terms of Generalized Fibonacci and Lucas Numbers
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DOI: 10.15672/hjms.2017.527
Abstract: In this study, we present some identities involving generalized Fibonacci sequence $\left(U_{n}\right)$ and generalized Lucas sequence $\left(V_{n}\right)$. Then we give all solutions of the Diophantine equations $x^{2}-V_{n}xy+(-1)^{n}y^{2}=\pm (p^{2}+4)U_{n}^{2},$ $x^{2}-V_{n}xy+(-1)^{n}y^{2}=\pm U_{n}^{2},$ $x^{2}-(p^{2}+4)U_{n}xy-(p^{2}+4)(-1)^{n}y^{2}=\pm V_{n}^{2},$ $x^{2}-V_{n}xy\pm y^{2}=\pm 1,$… read more here.
Keywords: left right; equations terms; generalized fibonacci; solutions diophantine ... See more keywords