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DERIVATION OF GENERALIZED EINSTEIN'S EQUATIONS OF GRAVITATION IN SOME NONINERTIAL REFERENCE FRAMES BASED ON THE THEORY OF VACUUM MECHANICS

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2021; 87 (2)

When solving Einstein's equations for an isolated system of masses, V. Fock introduced a harmonic reference frame and obtained an unambiguous solution......

AUTOMORPHISMS OF EFFECT ALGEBRAS WITH RESPECT TO CONVEX SEQUENTIAL PRODUCT

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2021; 87 (1)

Let H be a complex Hilbert space with dim H >= 3 and B(H) the algebra of all bounded linear operators on H. The effect algebra E (H) on H is the se......

CONSTRUCTING MUTUALLY UNBIASED BASES FROM UNEXTENDIBLE MAXIMALLY ENTANGLED BASES

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2020; 85 (1)

We study mutually unbiased bases (MUBs) in which all the bases are unextendible maximally entangled ones. We first present a necessary and sufficient ......

RIEMANN-HILBERT METHOD FOR THE THREE-COMPONENT SASA-SATSUMA EQUATION AND ITS N-SOLITON SOLUTIONS

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2020; 85 (1)

The three-component Sasa-Satsuma equation associated with the 7 x 7 matrix spectral problem is studied by using the Riemann-Hilbert method. The spectr......

MATRIX SPECTRAL PROBLEMS AND INTEGRABILITY ASPECTS OF THE BASZAK-MARCINIAK LATTICE EQUATIONS

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2020; 86 (3)

A method to derive the matrix spectral problems of the Baszak-Marciniak lattice equations is proposed, and the matrix Lax representations of all the t......

NEW DYNAMICS OF THE CLASSICAL AND NONLOCAL GROSS-PITAEVSKII EQUATION WITH A PARABOLIC POTENTIAL

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2020; 86 (3)

Solutions of the classical and nonlocal Gross-Pitaevskii (GP) equation with a parabolic potential and a gain term are derived by using a second-order ......

AFFINE LIE SUPERALGEBRA AND LAX EQUATIONS ASSOCIATED WITH B(0,1)

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2019; 83 (1)

By using the Lie superalgebra B(0, n), we give a Cartan matrix of affine Lie superalgebra B(0, n)((1)), and the relations of their generators. We also......

JIF:0.99

KOLMOGOROV DECOMPOSITIONS AND EXTREMALITY CONDITIONS FOR POSITIVE COVARIANT KERNELS

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2019; 83 (2)

We study positive kernels on X x X, where X is a set equipped with an action of a group, and taking values in the set of A-sesquilinear forms on a (no......

JIF:0.99

BIFURCATION OF TRAVELING WAVE SOLUTIONS FOR THE JOSEPH-EGRI EQUATION

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2019; 83 (2)

The bifurcation method of dynamical system is applied to study traveling waves of the Joseph-Egri equation. The phase space geometry of traveling wave......

JIF:0.99

ON SYMMETRY GROUPS AND CONSERVATION LAWS FOR SPACE-TIME FRACTIONAL INHOMOGENEOUS NONLINEAR DIFFUSION EQUATION

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2019; 84 (3)

In this paper, we consider a class of space-time fractional inhomogeneous nonlinear diffusion equations with Riemann-Liouville fractional derivative. ......

JIF:0.99

CONFORMAL INVARIANCE AND CONSERVED QUANTITIES OF NONMATERIAL VOLUMES

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2019; 84 (3)

This paper investigates conformal invariance and conserved quantities of nonmaterial volumes. An infinitesimal transformation group and infinitesimal ......

JIF:0.99

A HIERARCHY OF INTEGRABLE DIFFERENTIAL-DIFFERENCE EQUATIONS AND DARBOUX TRANSFORMATION

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2019; 84 (3)

By embedding a free function into discrete zero curvature equation, we generalize the original hierarchy of integrable differential-difference equatio......

JIF:0.99

A COMBINED SHORT PULSE-MKDV EQUATION AND ITS EXACT SOLUTIONS BY TWO-DIMENSIONAL INVARIANT SUBSPACES

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2019; 83 (3)

In this paper, a multi-component combined short pulse-mKdV equation is constructed as a nonstreching invariant curve flow in the n-dimensional unit sp......

JIF:0.99

TIME EVOLUTION OF THE VARIANCE OF SQUEEZED CHAOTIC STATE IN AMPLITUDE DISSIPATION CHANNEL

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2019; 83 (3)

We explore time evolution of squeezed chaotic state (SCS) in amplitude dissipation channel with damping coefficient kappa. By using the technique of i......

JIF:0.99

CAUCHY MATRIX TYPE SOLUTIONS FOR THE NONLOCAL NONLINEAR SCHRODINGER EQUATION

期刊: REPORTS ON MATHEMATICAL PHYSICS, 2019; 84 (1)

In this paper, we study some Cauchy matrix type solutions for the nonlocal nonlinear Schrodinger equations, including Cauchy matrix type multisoliton ......

JIF:0.99

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