Abstract Natural interactions among multiple quantum objects are fundamentally composed of two-body terms only. In contradistinction, single global unitaries that generate highly entangled states typically arise from Hamiltonians couple individual subsystems simultaneously. Here, we study the time to produce strongly nonclassical multipartite correlations with a unitary generated by natural int...

In this paper, we consider a member of an integrable family generalized Camassa–Holm (GCH) equations. We make analysis the point Lie symmetries these equations by using method infinitesimals. derive nonclassical and find new via method, which cannot be obtained symmetry method. employ multiplier to construct conservation laws for GCH Using underlying equation, double reduction is also construct...

The purpose of this article is to achieve new soliton solutions the Gilson–Pickering equation (GPE) with assistance Sardar’s subequation method (SSM) and Jacobi elliptic function (JEFM). applications GPE wider because we study some valuable vital equations such as Fornberg–Whitham (FWE), Rosenau–Hyman (RHE) Fuchssteiner–Fokas–Camassa–Holm (FFCHE) obtained by particular choices parameters involv...

A special class of symmetry reductions called nonclassical equivalence transformations is discussed in connection to a parameter identification problems represented by partial differential equations. These relate the forward and inverse problems, reduce dimension equation, yield types solutions, may be incorporated into boundary conditions as well. As an example, we discuss nonlinear stationary...

In this study, the Lie symmetry analysis is given for time-fractional telegraph equation with Riemann–Liouville derivative. This useable to describe physical processes of models possessing memory. By applying classical and nonclassical α , β derivatives some technical computations, new infinitesimal gen...

The postulate of universal conformal (local Weyl scaling) symmetry modifies both general relativity and the Higgs scalar field model. model (CHM) generates an effective cosmological constant that fits observed accelerating Hubble expansion for redshifts z≤1 (7.33 Gyr) accurately with only one free parameter. Growth a galaxy is modeled by central accumulation matter from enclosing empty spherica...

In 1948 Tellegen Philips Res. Rep. 3, 81 1948 suggested that an assembly of the lined up electric-magnetic dipole twins can construct a new type of an electromagnetic material. Until now, however, the problem of creation of the Tellegen medium is a subject of strong discussions. An elementary symmetry analysis makes questionable an idea of a simple combination of two electric and magnetic dipol...

In this paper, new classes of symmetries for partial differential equations (PDE) which can be written in a conserved form are introduced. These new symmetries called nonclassical potential symmetries, are neither potential symmetries nor nonclassical symmetries. Some of these symmetries are carried out for the Burgers equation ut + uux − uxx = 0. (1) by studying the nonclassical symmetries of ...

The classical pathway for estrogen receptor (ER) signaling is mediated by ER binding to an estrogen response element (ERE) in DNA. ERalpha can also act via a nonclassical pathway by altering the activities of other transcription factors (e.g., Sp1, AP-1, or NF-kappaB) at their cognate sites on DNA. We previously generated a mutant form of ERalpha (E207A/G208A) that does not bind to EREs, and th...