جواب‌های جدیدی از معادلات اینشتین برای یافتن خمینه‌های والکری

[1] A. M. Barlukova and A. P. Chupakhin, Partially invariant solutions in gas dynamics and implicit equations, J. Appl. Mech. Tech. Phys., 53 no. 6 (2012) 812–824.
[2] V. B. Bekezhanova and O. N. Goncharova, Application of a partially invariant exact solution of the thermosolutal convection equations for studying the instability of an evaporative flow in a channel heated from above, Symmetry, 15 no. 7 (2023) p. 13.
[3] G. W. Bluman and J. D. Cole, The general similarity solution of the heat equation, J. Math. Mech., 18 (1968/69) 1025–1042.
[4] G. W. Bluman and S. Kumei, Symmetry and differential equations, Applied mathematical sciences, no. 81, Spriger-Verlag, New York, 1989.
[5] M. Brozos-Vázquez, E. García-Río, P. Gilkey, S. Nikvčević and R. Vázques-Lorenzo, The geometry of walker manifolds, A Publication in the Morgan and Claypool Publishers series, 2009.
[6] A. M. Grundland and L. Lalague, Invariant and partially-invariant solutions of the equations describing a non-stationary and isentropic flow for an ideal and compressible fluid in (3 + 1) dimensions, J. Phys. A, 29 no. 8 (1996) 1723–1739.
[7] A. M. Grundland, P. Tempesta and P. Winternitz, Weak transversality and partially invariant solutions, J. Math. Phys, 44 no. 6 (2003) 2704–2722.
[8] S. Lie, On integration of a class of linear partial differential equations by means of definite integrals, translation by N. H. Ibragimov, Archiv der Mathematik, 6 no. 3 (1881) 328–368.
[9] L. Martina and P. Winternitz, Partially invariant solutions of nonlinear Klein-Gordon and Laplace equations, J. Math. Phys., 33 no. 8 (1992) 2718–2727.
[10] S. V. Meleshko, A particular class of partially invariant solutions of the navier—stokes equations, Nonlinear Dynam., 36 no. 1 (2004) 47–68.
[11] P. J. Olver, Applications of Lie groups to differential equations, Second edition. Graduate Texts in Mathematics, 107, Springer-Verlag, New York, 1993.
[12] L. V. Ovsiannikov, Group analysis of differential equations, Translated from the Russian by Y. Chapovsky. Translation edited by William F. Ames. Academic Press, Inc. New York-London, 1982.
[13] L. V. Ovsiannikov and A. P. Chupakhin, Regular partially invariant submodels of the equations of gas dynamic, J. Appl. Maths Mechs.,60 no. 6 (1996) 969–978.

[14] L. V. Ovsiannikov, Group properties of differential equations, Novosibirsk, Moscow, 1962.
[15] A. A. Shaikh, Y. H. Kim and S. K. Hui, On Lorentzian quasi-Einstein manifolds, J. Korean Math. Soc., 48 no. 4 (2011) 669–689.
[16] A. G. Walker, Canonical form for a Riemannian space with a parallel field of null planes, Quart. J. Math. Oxford, 2 no. 1 (1950) 69–79.
[17] A. G. Walker, On parallel fields of partially null vector spaces, Quart. J. Math, Oxford, 20 (1949) 135–145.