Nonlinear Schrodinger Equation
Crank Nicolson implicit method for the nonlinear Schrodinger Equation with variable coefficient
... Abstract. In the present work, the Crank-Nicolson implicit scheme for the numerical solution of nonlinear Schrodinger equation with variable coefficient is introduced. The Crank-Nicolson scheme is ...
7
Nonlinear Schrodinger equation for the twisted Laplacian in the critical case
... ¨ NONLINEAR SCHRODINGER EQUATION FOR THE TWISTED LAPLACIAN IN THE CRITICAL CASE Vijay Kumar Sohani Harish-Chandra Research Institute, Allahabad 211 019, India e-mail: vijaykumarsohani@gm[r] ...
16
Propagation of solitons of the Derivative Nonlinear Schrodinger equation in a plasma with fluctuating density
... quasi-parallel nonlinear small-amplitude magnetohydrodynamic waves in a cold Hall plasma with fluctuating density is ...Derivative Nonlinear Schro¨dinger equation ~DNLS! is derived with the use of ...
7
Optical soliton generation in fiber optics : free & forced nonlinear schrodinger equation
... NLS equation by using Pseudo-Spectral method so that the results can be compared with the analytical solution to find the percentage error of this numerical ...
26
Numerical solution of time fractional nonlinear Schrodinger equation arising in quantum mechanics by cubic B-spline finite elements
... fractional nonlinear Schr ¨odinger equation encountered in quantum mechanics based on the cubic B-spline finite element method have been calculated and ...fractional nonlinear Schr ¨odinger ...
11
Solutions to the nonlinear Schrodinger equation with Dirac mass initial data
... In this chapter we will study particular sequences of initial data that converge to a Dirac mass. This will be done in two separate ways. The first is to study the NLS equation directly. This is done in section ...
76
Localised nonlinear optical modes and the corresponding support structures: exact solutions to the nonlinear Schrodinger equation with external potentials
... Microwave radiometry antennas in breast cancer early diagnosis Numerical Simulation of Heating Characteristics in a New Microwave Coaxial-Slot Antenna for Cancer Therapy Structure of cyl[r] ...
15
Exact solution of the(2+1)-dimensional hyperbolic nonlinear Schrodinger equation by Adomian decomposition method
... of nonlinear partial differential equations (PDEs) is one of the most important and essential tasks which help us for better understanding of nonlinear complex physical ...
5
Solving the quantum nonlinear Schrodinger equation with delta-type impurity
... The interaction of quantum fields with impurities represents in general a hard and yet un- solved problem, but there are relevant achievements 1–11 in the case of integable systems in 1 + 1 space–time dimensions. The ...
25
Blow Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations
... of nonlinear Schrodinger equation for some initial boundary ...the nonlinear parameter for light rule power by using of parameter method to get ground state and excite state correspond case, ...
12
Nonlinear Pulse Propagation in a Weakly Birefringent Optical Fiber Part 1: Derivation of Coupled Nonlinear Schrodinger Equations (Cnlse)
... that nonlinear pulse propagation in a birefringent optical fiber is governed by a pair of Coupled Nonlinear Schrodinger-type Equations ...the nonlinear Schrodinger equation that ...
27
A Study On Linear and Non linear Schrodinger Equations by Reduced Differential Transform Method
... of nonlinear Schrodinger ...and nonlinear one dimensional Schrodinger equations using adomian decomposition method and homotopy perturbation ...the nonlinear Schrodinger ...the ...
6
A THEORETICAL STUDY OF TWO-FERMION BOUND STATE IN A BOSE-EINSTEIN CONDENSATE AND EVALUATION OF MOLECULAR CONDENSATE FRACTION N0/N AS A FUNCTION OF SCALED TEMPERATURE T/TC
... a nonlinear Schrodinger equation for a fermionic beam in a condensate and shown that the condensate acts as an effective nonlinear medium for the ...
22
On Analyzing Numerical solution of time-Independent Schrodinger equation
... important equation was formulated by Erwin Schrodinger in 1926, which showed that it is the equivalent of the Newtonian laws but for quantum systems ...wave equation can be categorized as ...
22
Schrodinger Langevin Equation and Ion Transport atNano Scale
... Schrödinger-Langevin equation has been constructed for the ion-transport for K-ion channel. The stability of the solutions of this equation has been discussed under various physical situations. This will ...
5
Painlevé Analysis for (2 + 1) Dimensional Non Linear Schrödinger Equation
... our equation having six positions of resonance at i = −1, 0, 2, 3, 3, 4, there are six arbitrary functions at these resonance ...our equation conform the Painlevé criterion of integrability as ex- plained ...
7
The detrimental effect of spontaneous emission in quantum free electron lasers : a discrete Wigner model
... In Refs.[11, 12], an equation based on a continuous Wigner distribution was used to describe the electron dynamics, as will be reviewed shortly in section II. Here, we further investigate the role of the ...
8
Caustics and the indefinite signature Schroedinger equation : linear and nonlinear
... 39. R. Killip; M. Visan; X. Zhang, Energy-critical NLS with Quadratic Potentials, (2006). 40. T. Tao; M. Visan; X. Zhang, Global well-posedness and scattering for the mass critical nonlinear Schr¨ odinger ...
175
The quantum nonlinear Schrodinger model with point-like defect
... In order to avoid the problem, a consistent factorized scattering theory of a unitary scattering operator has been developed in [16, 17] in terms of RT algebras, without necessarily assu[r] ...
16
Blow-up for Semidiscretisations of a Semilinear Schrodinger Equation with Dirichlet Condition
... Schrhödinger equation models a lot of physical phenomenon such as nonlinear optics, energy transfer in molecular systems, quantum mechanics, seismology, plasma ...
6