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......
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......
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 ......
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......
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......
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 ......
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......
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......
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......
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. ......
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 ......
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......
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......
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......
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 ......