We consider the modification of a single particle Schrödinger equation by the inclusion of an additional gravitational self-potential term which follows from the prescription that the’ mass-density’that enters this term is given by m|ψ(~r, t)|2, where ψ(~r, t) is the wavefunction andm is the mass of the particle. This leads to a nonlinear equation, the ’ Newton Schrodinger’ equation, which has ...

Abstract:In this paper, we utilize the Exp-function method with symbolic computational system Maple to constructing generalized solitary solutions of auxiliary equation. With the aid of auxiliary equation and its generalized solitary solutions, new exact solutions with three arbitrary functions of two nonlinear evolution equations in physics, namely, higher-order nonlinear Schrodinger equation ...

Using perturbative methods, we analyse a nonlinear generalisation of Schrodinger’s equation that had previously been obtained through information-theoretic arguments. We first compute numerically the leading correction, in terms of the nonlinearity scale, to the energy eigenvalues of the linear Schrodinger equation in the presence of some common external potentials and parametrise the results i...

We derive the long-time asymptotics for solution of initial-boundary value problem coupled nonlinear Schrodinger equation whose Lax pair involves 3 × matrix in present paper. Based on a no...

As a novel strategy, Quantum-behaved particles use uncertainty law and a distinct formulation obtained from solving the time-independent Schrodinger differential equation in the delta-potential-well function to update the solution candidates’ positions. In this case, the local attractors as potential solutions between the best solution and the others are introduced to explore the solution space...

Gauge equivalence between the two-dimensional continuous classical Heisenberg ferromagnets(CCHF) of spin 1 2 -the M-I equation with singleside anisotropy and the Zakharov equation(ZE) is established for the easy axis case. The anisotropic CCHF is shown to be gauge equivalent to the isotropic CCHF. Preprint CNLP-1994-05. Alma-Ata.1994 In the study of 1+1 dimensional ferromagnets, a well known La...

This paper elucidates the main advantages of exp-function method in finding exact solution non-linear Schrodinger equation. The process is extremely simple and accessible, obtained contains some free parameters.

In this paper, we have extended and completed our previous work, that was introducing a new method for finite differentiation. We show the applicability of the method for solving a wide variety of equations such as Poisson, Lap lace and Schrodinger. These equations are fundamental to the most semiconductor device simulators. In a section, we solve the Shordinger equation by this method in sever...