Abstract: We use Whitham’s averaged Lagrangian method extended with the multiple-scale formalism to derive a sixth-order nonlinear Schrödinger equation for the complex ...

Afundamental task in geodesy is solving systems of equations.Many geodetic problems are represented as systems of multivariate polynomials. A common problem in solving such ...

We extend Bar-Natan’s cobordism-based categorification of the Jones polynomial to virtual links. Our topological complex allows a direct extension of the classical Khovanov ...

Progress in the understanding of the physical mechanisms that underlie supersonic and hypersonic transition phenomena is greatly impeded by the nonlinearity of the ...

A simple Mathematica (version 7) code for computing S-state energies and wave functions of two-electron (helium-like) ions is presented. The elegant technique derived from ...

The almost-sure asymptotic stability of finite order linear stochastic systems subjected to non-white parametric excitations can be analyzed via the second method of Lyapunov ...

Mathematical systems (e. g., Mathematica, Maple, Matlab, and DPGraph) easily plot planar algebraic curves implicitly defined by polynomial functions. However, these systems, ...

A teaching experiment—using Mathematica to investigate the convergence of sequence of functions visually as a sequence of objects (graphs) converging onto a fixed object ...

Many interesting solutions of the so-called Basler problem of evaluating the Riemann zeta function zeta(s) when s=2, which was of vital importance to Euler and the Bernoulli ...

We describe applications of a MATHEMATICA-based package for the study of Lie algebras and their cohomology such as (1) the possibility to write Supergravity Equations for any ...