We present a numerical study of the time-dependent SN equations in three dimensions with three kinds of symmetry: spherically symmetric , axially symmetric and translationally symmetric. We find that the solutions show a balance between the dispersive tendencies of the Schödinger equation and the gravitional attraction from the Poisson equation. Only the ground state is stable, and lumps of pro...

Cocurrent spontaneous imbibition (COCSI) of an aqueous phase into matrix blocks arising from capillary forces is an important mechanism for petroleum recovery from fractured petroleum reservoirs. In this work, the modeling of countercurrent imbibition is used to develop the appropriate scaling equations. Considering the imbibition process and the water and oil movement respectively as the wet p...

This paper introduces a family of evolutionary 1+1 PDEs that describe the balance between convection and stretching in the dynamics of 1D nonlinear waves in fluids. It includes the Camassa-Holm equation and the Degasperis-Procesi equation as special cases, and it is reversible in time and parity invariant . In the paper, when m = u − αuxx , special solutions including peakons, ramps and cliffs ...

Abstract: In this paper, through a new transformation, the combined KdvBurgers equation with variable coefficients(vcKdvB) is reduced to a new simplified equation.Based on the homogeneous balance principle(HBP),we studied the Backlund transformation(BT) and several exact soliton-like solutions to this vcKdvB equation. Including single kink-like solitary wave solutions, double-soliton-like solut...

Background: Many studies have examined the consequences of prolonged television viewing, but few studies have examined the psychological states that contribute to this behavior. In this study, we evaluated the construct and predictive validity of psychosocial correlates of television viewing in a population of African American (AA) breast cancer survivors (BCS). Methods: AA BCS (N = 342, Mean a...

Metabolic networks are defined as the collection of biochemical reactions within a cell that define the functions of that cell. Due to the growing need to understand the functions of biological organisms for industrial and medical purposes, modeling and simulation of metabolic networks has attracted a lot of attention recently. Traditionally, metabolic networks are modeled such as flux-balance ...

Background: Many studies have examined the consequences of prolonged television viewing, but few studies have examined the psychological states that contribute to this behavior. In this study, we evaluated the construct and predictive validity of psychosocial correlates of television viewing in a population of African American (AA) breast cancer survivors (BCS). Methods: AA BCS (N = 342, Mean a...

We summarize published hole transit-time measurements for hydrogenated amorphous silicon, microcrystalline silicon, and light-emitting nanoporous silicon in terms of drift mobilities and dispersion parameters. For amorphous and microcrystalline silicon, the anomalously dispersive measurements are broadly consistent with multiple-trapping by bandtail traps with an exponential distribution of ene...

In the present paper, a new analytical technique is introduced for obtaining approximate periodic solutions of Helmholtz-Duffing oscillator. Modified Harmonic Balance Method (MHBM) is adopted as the solution method. A classical harmonic balance method does not apply directly for solving Helmholtz-Duffing oscillator. Generally, a set of difficult nonlinear algebraic equations is found when MHBM ...

This work analyzes the initial value problem in ordinary differential equations with a parametric lexicographic linear program (LP) embedded. The LP is said to be embedded since the dynamics depend on the solution of the LP, which is in turn parameterized by the dynamic states. This problem formulation finds application in dynamic flux balance analysis, which serves as a modeling framework for ...