In this paper, we propose a new method which based on the nonmonotone line search technique for solving symmetric nonlinear equations. The method can ensure that the search direction is descent for ...

Reflect the shape in the line \(x = -1\). The line \(x = -1\) is a vertical line which passes through -1 on the \(x\)-axis. The line \(y = 1\) is a horizontal line which passes through 1 on the ...

Department of Physics, University of Algarve, Faro, Portugal. Rigidity is a defining state function that describes the distinction between gas states below the Boyle temperature and liquid or solid ...

Reflect the shape in the line \(x = -1\). The line \(x = -1\) is a vertical line which passes through -1 on the \(x\)-axis. The line \(y = 1\) is a horizontal line which passes through 1 on the ...

The symmetry breaking phenomenon of the parity-time (PT) symmetric solitons in self-defocusing saturable nonlinear Schrödinger equation is studied. As the soliton power increases, branches of ...

Abstract: Following the work of Bender et al. [1], systems with parity and time symmetry (that is, they are invariant under a mirror reflection and complex conjugation) have been extensively studied.

A general mathematical scheme to construct symmetric, explicit numerical integrators of Newtonian equations of motion endowed with a generalized friction is provided for molecular dynamics (MD) study.

Deriving the Einstein field equation solution for static and sperically symmetric object kept in vacuum using Mathematica. Background: We will start with a static and spherically symmetric metric.

Abstract: A complete set of solutions for Maxwell's equations to first order in the normalized surface impedance z/sub s/ of the coaxial conductors is found. The derivation of the fields outlined ...