**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**4734

# Search results for: SDNLSE - saturable discrete non linear Schrodinger equation

##### 4734 Analytical Solution of Non–Autonomous Discrete Non-Linear Schrodinger Equation With Saturable Non-Linearity

**Authors:**
Mishu Gupta,
Rama Gupta

**Abstract:**

**Keywords:**
B-E-Bose-Einstein,
DNLSE-Discrete non linear schrodinger equation,
NLSE-non linear schrodinger equation,
SDNLSE - saturable discrete non linear Schrodinger equation

##### 4733 Approximate Solution to Non-Linear Schrödinger Equation with Harmonic Oscillator by Elzaki Decomposition Method

**Authors:**
Emad K. Jaradat,
Ala’a Al-Faqih

**Abstract:**

**Keywords:**
non-linear Schrodinger equation,
Elzaki decomposition method,
harmonic oscillator,
one and two-dimensional Schrodinger equation

##### 4732 Exact Solutions of a Nonlinear Schrodinger Equation with Kerr Law Nonlinearity

**Authors:**
Muna Alghabshi,
Edmana Krishnan

**Abstract:**

**Keywords:**
Jacobi elliptic function,
mapping methods,
nonlinear Schrodinger Equation,
tanh method

##### 4731 On the Grid Technique by Approximating the Derivatives of the Solution of the Dirichlet Problems for (1+1) Dimensional Linear Schrodinger Equation

**Authors:**
Lawrence A. Farinola

**Abstract:**

**Keywords:**
approximation of derivatives,
finite difference method,
Schrödinger equation,
uniform error

##### 4730 A Trapezoidal-Like Integrator for the Numerical Solution of One-Dimensional Time Dependent Schrödinger Equation

**Authors:**
Johnson Oladele Fatokun,
I. P. Akpan

**Abstract:**

**Keywords:**
Schrodinger’s equation,
partial differential equations,
method of lines (MOL),
stiff ODE,
trapezoidal-like integrator

##### 4729 Soliton Solutions of the Higher-Order Nonlinear Schrödinger Equation with Dispersion Effects

**Authors:**
H. Triki,
Y. Hamaizi,
A. El-Akrmi

**Abstract:**

**Keywords:**
nonlinear Schrödinger equation,
high-order effects,
soliton solution

##### 4728 Fundamental Solutions for Discrete Dynamical Systems Involving the Fractional Laplacian

**Authors:**
Jorge Gonzalez Camus,
Valentin Keyantuo,
Mahamadi Warma

**Abstract:**

**Keywords:**
discrete fractional Laplacian,
explicit representation of solutions,
fractional heat and wave equations,
fundamental

##### 4727 The Soliton Solution of the Quadratic-Cubic Nonlinear Schrodinger Equation

**Authors:**
Sarun Phibanchon,
Yuttakarn Rattanachai

**Abstract:**

**Keywords:**
soliton,
ion-acoustic waves,
plasma,
spectral method

##### 4726 A Study of Non Linear Partial Differential Equation with Random Initial Condition

**Authors:**
Ayaz Ahmad

**Abstract:**

**Keywords:**
drift term,
finite time blow up,
inverse problem,
soliton solution

##### 4725 Relativistic Energy Analysis for Some q Deformed Shape Invariant Potentials in D Dimensions Using SUSYQM Approach

**Authors:**
A. Suparmi,
C. Cari,
M. Yunianto,
B. N. Pratiwi

**Abstract:**

**Keywords:**
D-dimensional dirac equation,
non-central potential,
SUSY QM,
radial wave function

##### 4724 Propagation of W Shaped of Solitons in Fiber Bragg Gratings

**Authors:**
Mezghiche Kamel

**Abstract:**

**Keywords:**
ﬁber bragg grating,
nonlinear-coupled mode equations,
w shaped of solitons,
PNLS

##### 4723 Energy States of Some Diatomic Molecules: Exact Quantization Rule Approach

**Authors:**
Babatunde J. Falaye

**Abstract:**

**Keywords:**
Schrödinger equation,
exact quantization rule,
functional analysis,
Deng-Fan potential

##### 4722 Exact Solutions of Discrete Sine-Gordon Equation

**Authors:**
Chao-Qing Dai

**Abstract:**

**Keywords:**
exact solutions,
variable-coefficient Jacobian elliptic function method,
discrete sine-Gordon equation,
dynamical behaviors

##### 4721 Dynamics of Light Induced Current in 1D Coupled Quantum Dots

**Authors:**
Tokuei Sako

**Abstract:**

**Keywords:**
pulsed laser field,
nanowire,
electron wave packet,
quantum dots,
time-dependent Schrödinger equation

##### 4720 Existence and Concentration of Solutions for a Class of Elliptic Partial Differential Equations Involving p-Biharmonic Operator

**Authors:**
Debajyoti Choudhuri,
Ratan Kumar Giri,
Shesadev Pradhan

**Abstract:**

**Keywords:**
p-Laplacian,
p-biharmonic,
elliptic PDEs,
Concentration lemma,
Sobolev space

##### 4719 Solution of the Nonrelativistic Radial Wave Equation of Hydrogen Atom Using the Green's Function Approach

**Authors:**
F. U. Rahman,
R. Q. Zhang

**Abstract:**

**Keywords:**
Green’s function,
hydrogen atom,
Lippmann Schwinger equation,
radial wave

##### 4718 Optimization of Fourth Order Discrete-Approximation Inclusions

**Authors:**
Elimhan N. Mahmudov

**Abstract:**

**Keywords:**
difference,
optimization,
fourth,
approximation,
transversality

##### 4717 Broadband Platinum Disulfide Based Saturable Absorber Used for Optical Fiber Mode Locking Lasers

**Authors:**
Hui Long,
Chun Yin Tang,
Ping Kwong Cheng,
Xin Yu Wang,
Wayesh Qarony,
Yuen Hong Tsang

**Abstract:**

**Keywords:**
platinum disulfide,
PtS2,
saturable absorption,
saturable absorber,
mode locking laser

##### 4716 Numerical Simulations on Feasibility of Stochastic Model Predictive Control for Linear Discrete-Time Systems with Random Dither Quantization

**Authors:**
Taiki Baba,
Tomoaki Hashimoto

**Abstract:**

**Keywords:**
model predictive control,
stochastic systems,
probabilistic constraints,
random dither quantization

##### 4715 Computational Simulations on Stability of Model Predictive Control for Linear Discrete-Time Stochastic Systems

**Authors:**
Tomoaki Hashimoto

**Abstract:**

**Keywords:**
computational simulations,
optimal control,
predictive control,
stochastic systems,
discrete-time systems

##### 4714 Stochastic Model Predictive Control for Linear Discrete-Time Systems with Random Dither Quantization

**Authors:**
Tomoaki Hashimoto

**Abstract:**

**Keywords:**
optimal control,
stochastic systems,
random dither,
quantization

##### 4713 Stability of Hybrid Stochastic Systems

**Authors:**
Manlika Ratchagit

**Abstract:**

**Keywords:**
robust mean square stability,
discrete-time stochastic systems,
hybrid systems,
interval time-varying delays,
Lyapunov functional,
linear matrix inequalities

##### 4712 New Results on Stability of Hybrid Stochastic Systems

**Authors:**
Manlika Rajchakit

**Abstract:**

**Keywords:**
robust mean square stability,
discrete-time stochastic systems,
hybrid systems,
interval time-varying delays,
lyapunov functional,
linear matrix inequalities

##### 4711 Optimal Linear Quadratic Digital Tracker for the Discrete-Time Proper System with an Unknown Disturbance

**Authors:**
Jason Sheng-Hong Tsai,
Faezeh Ebrahimzadeh,
Min-Ching Chung,
Shu-Mei Guo,
Leang-San Shieh,
Tzong-Jiy Tsai,
Li Wang

**Abstract:**

**Keywords:**
non-minimum phase system,
optimal linear quadratic tracker,
proportional plus integral observer,
state and disturbance estimator

##### 4710 Asymptotic Expansion of the Korteweg-de Vries-Burgers Equation

**Authors:**
Jian-Jun Shu

**Abstract:**

**Keywords:**
asymptotic expansion,
differential equation,
Korteweg-de Vries-Burgers (KdVB) equation,
soliton

##### 4709 An Analytical Method for Solving General Riccati Equation

**Authors:**
Y. Pala,
M. O. Ertas

**Abstract:**

**Keywords:**
Riccati equation,
analytical solution,
proper solution,
nonlinear

##### 4708 Fixed Point Iteration of a Damped and Unforced Duffing's Equation

**Authors:**
Paschal A. Ochang,
Emmanuel C. Oji

**Abstract:**

**Keywords:**
damping,
Duffing's equation,
fixed point analysis,
second order differential,
stability analysis

##### 4707 The Application of Variable Coefficient Jacobian elliptic Function Method to Differential-Difference Equations

**Authors:**
Chao-Qing Dai

**Abstract:**

**Keywords:**
discrete sine-Gordon equation,
variable coefficient Jacobian elliptic function method,
exact solutions,
equation

##### 4706 Stability of Stochastic Model Predictive Control for Schrödinger Equation with Finite Approximation

**Authors:**
Tomoaki Hashimoto

**Abstract:**

**Keywords:**
optimal control,
stochastic systems,
quantum systems,
stabilization

##### 4705 Schrödinger Equation with Position-Dependent Mass: Staggered Mass Distributions

**Authors:**
J. J. Peña,
J. Morales,
J. García-Ravelo,
L. Arcos-Díaz

**Abstract:**

**Keywords:**
free particle,
point canonical transformation method,
position-dependent mass,
staggered mass distribution