This paper outlines a study into the exact solutions of (2+1)-dimensional Heisenberg ferromagnetic spin chain equation that is used to illustrate materials magnetic ordering by applying two recent techniques, namely, Sardar-subequation method and extended rational sine–cosine sinh–cosh methods. Abundant such as bright soliton, dark combined bright–dark singular soliton other periodic wave expre...

The CWKB approach to non-reflecting potential and cosmological implications. Abstract We discuss the method of calculating the reflection coefficient using complex trajectory WKB (CWKB) approximation. This enables us to give an interpretation of non-reflecting nature of the potential under certain conditions and clarify some points, reported incorrectly elsewhere [1] for the potential U (x) = −...

Abstract In this paper, we represent a resolution for the hierarchy problem where inverse size of extra dimension and fundamental Planck scale would all be order TeV by proposing fiber fabric spacetime. The origin large is essentially due to $$\cosh $$ cosh function which physically originated from dynamics h...

Background Spontaneous bacterial peritonitis (SBP) is common in patients with hepatitis B virus-related acute-on-chronic liver failure (HBV-ACLF). The prognostic value of interleukin-related serum markers for ACLF coming to the fore. However, there an unmet need predict survival such patients. We aimed analyze independent predictors 28- and 90-day mortality HBV-ACLF SBP. Methods This was a retr...

Let X be a compact Riemann surface of genus ≥ 2 of constant negative curvature −1. An extremal disk is an embedded (resp. covering) disk of maximal (resp. minimal) radius. A surface containing an extremal disk is an extremal surface. This paper gives formulas enumerating extremal surfaces of genus ≥ 4 up to isometry. We show also that the isometry group of an extremal surface is always cyclic o...

The recurrence algorithm is given for the calculation of NUAH B-splines in the space Sn+1 = span{sinh t, cosh t, t , · · · , t, t, 1} (n ≥ 3). The case of NUAH B-spline bases of low order with multiple knot sequences is studied. The limiting cases of UAH Bsplines are recovered when shape parameters α′s → 0and + ∞. Then the corresponding NUAH B-spline curve is defined and its main properties suc...

We find exact rolling tachyon solutions in DBI type noncommutative field theory with constant open string metric and noncommutative parameter on an unstable Dp-brane. Their functional shapes span all possible homogeneous rolling tachyon solutions, i.e., they are hyperbolic-cosine, hyperbolic-sine, and exponential under 1/ cosh runaway NC tachyon potential. Even if general DBI type NC electric f...

We find that the fundamental quadratic form of classical string propagation in 2 + 1 dimensional constant curvature spacetimes solves the Sinh-Gordon equation, the Cosh-Gordon equation or the Liouville equation. We show that in both de Sitter and anti de Sitter spacetimes (as well as in the 2 + 1 black hole anti de Sitter spacetime), all three equations must be included to cover the generic str...