**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**2512

# Search results for: nonlinear equations

##### 2512 X-Ray Dynamical Diffraction 'Third Order Nonlinear Renninger Effect'

**Authors:**
Minas Balyan

**Abstract:**

**Keywords:**
Bragg diffraction,
nonlinear Takagi’s equations,
nonlinear Renninger effect,
third order nonlinearity

##### 2511 Further Results on Modified Variational Iteration Method for the Analytical Solution of Nonlinear Advection Equations

**Authors:**
A. W. Gbolagade,
M. O. Olayiwola,
K. O. Kareem

**Abstract:**

**Keywords:**
lagrange multiplier,
non-homogeneous equations,
advection equations,
mathematics

##### 2510 Numerical Iteration Method to Find New Formulas for Nonlinear Equations

**Authors:**
Kholod Mohammad Abualnaja

**Abstract:**

**Keywords:**
variational iteration method,
nonlinear equations,
Lagrange multiplier,
algorithms

##### 2509 Equations of Pulse Propagation in Three-Layer Structure of As2S3 Chalcogenide Plasmonic Nano-Waveguides

**Authors:**
Leila Motamed-Jahromi,
Mohsen Hatami,
Alireza Keshavarz

**Abstract:**

_{2}S

_{3}chalcogenide materials. Via utilizing Helmholtz equation and first-order perturbation theory, two components of electric field are determined within frequency domain. Afterwards, the equations are formulated in time domain. The obtained equations include two coupled differential equations that considers nonlinear dispersion.

**Keywords:**
nonlinear optics,
plasmonic waveguide,
chalcogenide,
propagation equation

##### 2508 Integrable Heisenberg Ferromagnet Equations with Self-Consistent Potentials

**Authors:**
Gulgassyl Nugmanova,
Zhanat Zhunussova,
Kuralay Yesmakhanova,
Galya Mamyrbekova,
Ratbay Myrzakulov

**Abstract:**

**Keywords:**
Heisenberg Ferromagnet equations,
soliton equations,
equivalence,
Lax representation

##### 2507 The Finite Element Method for Nonlinear Fredholm Integral Equation of the Second Kind

**Authors:**
Melusi Khumalo,
Anastacia Dlamini

**Abstract:**

**Keywords:**
finite element method,
Galerkin approach,
Fredholm integral equations,
nonlinear integral equations

##### 2506 Numerical Wave Solutions for Nonlinear Coupled Equations Using Sinc-Collocation Method

**Authors:**
Kamel Al-Khaled

**Abstract:**

**Keywords:**
Nonlinear coupled KdV equations,
Soliton solutions,
Sinc-collocation method,
Sinc functions

##### 2505 On the Strong Solutions of the Nonlinear Viscous Rotating Stratified Fluid

**Authors:**
A. Giniatoulline

**Abstract:**

**Keywords:**
Galerkin method,
Navier-Stokes equations,
nonlinear partial differential equations,
Sobolev spaces,
stratified fluid

##### 2504 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

##### 2503 Nonlinear Equations with n-Dimensional Telegraph Operator Iterated K-Times

**Authors:**
Jessada Tariboon

**Abstract:**

**Keywords:**
telegraph operator,
elementary solution,
distribution kernel,
nonlinear equations

##### 2502 X-Ray Dynamical Diffraction Rocking Curves in Case of Third Order Nonlinear Renninger Effect

**Authors:**
Minas Balyan

**Abstract:**

**Keywords:**
third order nonlinearity,
Bragg diffraction,
nonlinear Renninger effect,
rocking curves

##### 2501 Analytical Solving of Nonlinear Differential Equations in the Nonlinear Phenomena for Viscos Fluids

**Authors:**
Arash Jafari,
Mehdi Taghaddosi,
Azin Parvin

**Abstract:**

**Keywords:**
viscos fluid,
incompressible fluid flow,
inclined plane,
nonlinear phenomena

##### 2500 A Multistep Broyden’s-Type Method for Solving Systems of Nonlinear Equations

**Authors:**
M. Y. Waziri,
M. A. Aliyu

**Abstract:**

**Keywords:**
mulit-step Broyden,
nonlinear systems of equations,
computational efficiency,
iterate

##### 2499 Global Stability Of Nonlinear Itô Equations And N. V. Azbelev's W-method

**Authors:**
Arcady Ponosov.,
Ramazan Kadiev

**Abstract:**

**Keywords:**
asymptotic stability,
delay equations,
operator methods,
stochastic noise

##### 2498 Scrutiny and Solving Analytically Nonlinear Differential at Engineering Field of Fluids, Heat, Mass and Wave by New Method AGM

**Authors:**
Mohammadreza Akbari,
Sara Akbari,
Davood Domiri Ganji,
Pooya Solimani,
Reza Khalili

**Abstract:**

**Keywords:**
new method AGM,
sets of coupled nonlinear equations at engineering field,
waves equations,
integro-differential,
fluid and thermal

##### 2497 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

##### 2496 Modified Newton's Iterative Method for Solving System of Nonlinear Equations in Two Variables

**Authors:**
Sara Mahesar,
Saleem M. Chandio,
Hira Soomro

**Abstract:**

**Keywords:**
conventional Newton’s method,
modified Newton’s method,
order of convergence,
system of nonlinear equations

##### 2495 Weak Solutions Of Stochastic Fractional Differential Equations

**Authors:**
Lev Idels,
Arcady Ponosov

**Abstract:**

**Keywords:**
delay equations,
operator methods,
stochastic noise,
weak solutions

##### 2494 On Deterministic Chaos: Disclosing the Missing Mathematics from the Lorenz-Haken Equations

**Authors:**
Meziane Belkacem

**Abstract:**

**Keywords:**
Physics,
optics,
nonlinear dynamics,
chaos

##### 2493 Investigate and Solving Analytic of Nonlinear Differential at Vibrations (Earthquake)and Beam-Column, by New Approach “AGM”

**Authors:**
Mohammadreza Akbari,
Pooya Soleimani Besheli,
Reza Khalili,
Sara Akbari

**Abstract:**

**Keywords:**
new method AGM,
vibrations,
beam-column,
angular frequency,
energy dissipated,
critical load

##### 2492 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

##### 2491 Nonlinear Impact Responses for a Damped Frame Supported by Nonlinear Springs with Hysteresis Using Fast FEA

**Authors:**
T. Yamaguchi,
M. Watanabe,
M. Sasajima,
C. Yuan,
S. Maruyama,
T. B. Ibrahim,
H. Tomita

**Abstract:**

**Keywords:**
dynamic response,
nonlinear impact response,
finite element analysis,
numerical analysis

##### 2490 Comprehensive Investigation of Solving Analytical of Nonlinear Differential Equations at Chemical Reactions to Design of Reactors by New Method “AGM”

**Authors:**
Mohammadreza Akbari,
Pooya Soleimani Besheli,
Reza khalili,
Sara Akbari,
Davood Domiri Ganji

**Abstract:**

**Keywords:**
new method (AGM),
nonlinear differential equation,
tubular and mixed reactors,
catalyst bed

##### 2489 Electromagnetic Wave Propagation Equations in 2D by Finite Difference Method

**Authors:**
N. Fusun Oyman Serteller

**Abstract:**

**Keywords:**
finite difference method,
finite element method,
linear-nonlinear PDEs,
symbolic computation,
wave propagation equations

##### 2488 Existence Theory for First Order Functional Random Differential Equations

**Authors:**
Rajkumar N. Ingle

**Abstract:**

**Keywords:**
Random Fixed Point Theorem,
functional random differential equation,
N.F.R.D.E.,
universal random phenomenon

##### 2487 Research of Amplitude-Frequency Characteristics of Nonlinear Oscillations of the Interface of Two-Layered Liquid

**Authors:**
Win Ko Ko,
A. N. Temnov

**Abstract:**

**Keywords:**
nonlinear oscillations,
two-layered liquid,
instability region,
hydrodynamic coefficients,
resonance frequency

##### 2486 Large Amplitude Vibration of Sandwich Beam

**Authors:**
Youssef Abdelli,
Rachid Nasri

**Abstract:**

**Keywords:**
finite difference method,
large amplitude vibration,
multiple scales,
nonlinear vibration

##### 2485 Exact Soliton Solutions of the Integrable (2+1)-Dimensional Fokas-Lenells Equation

**Authors:**
Meruyert Zhassybayeva,
Kuralay Yesmukhanova,
Ratbay Myrzakulov

**Abstract:**

**Keywords:**
Fokas-Lenells equation,
integrability,
soliton,
the Hirota bilinear method

##### 2484 An Iterative Family for Solution of System of Nonlinear Equations

**Authors:**
Sonia Sonia

**Abstract:**

**Keywords:**
convergence,
divided difference operator,
nonlinear system,
Newton's method

##### 2483 Application of the MOOD Technique to the Steady-State Euler Equations

**Authors:**
Gaspar J. Machado,
Stéphane Clain,
Raphael Loubère

**Abstract:**

**Keywords:**
Euler equations,
finite volume,
MOOD,
steady-state