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The solution of the Lax tensor equations in the case L[sub αβγ]= -L[sub βαγ] was analyzed. The Lax tensors on the dual metrics were investigated. We classified all two-dimensional metrics having the symmetric Lax tensor L[sub αβγ]. The Lax tensors of the flat space, Rindler system and its dual were found. [ABSTRACT FROM AUTHOR]

In this paper, new analytical obliquely propagating wave solutions for the time fractional extended Zakharov–Kuzetsov (FEZK) equation of conformable derivative are investigated. By using the main properties of the conformable derivative, the FEZK equation is transformed into integer-order differential equations, and the reduced equations are solved via the generalized exponential rational function method (GERFM). The shape and features for the resulting solutions are illustrated through three-dimensional (3D) plots and corresponding contour plots for various values of the free parameters. [ABSTRACT FROM AUTHOR]