Showing papers in "Communications in Nonlinear Science and Numerical Simulation in 2007"

TL;DR: In this paper, the combined KdV-mKdV equation and the Gardner equation were used to derive solitons solutions, and the tanh method was used as well to obtain kink solutions.

TL;DR: In this paper, the effect of a third-order fluid on peristaltic transport in an asymmetric channel is studied and the effects of Deborah number, phase difference, varying channel width and wave amplitudes on the pumping characteristics, streamline pattern and trapping phenomena are investigated.

TL;DR: In this article, numerical evidence of passive and broadband targeted energy transfer from a linear flexible beam under shock excitation to a local essentially nonlinear lightweight attachment that acts, in essence, as nonlinear energy sink was provided.

TL;DR: In this article, the effect of chemical reaction and variable viscosity on hydromagnetic mixed convection heat and mass transfer for Hiemenz flow through porous media has been studied in the presence of radiation and magnetic field.

TL;DR: In this paper, an extended Jacobi elliptic function expansion method is proposed for constructing the exact solutions of nonlinear wave equations, and the validity and reliability of the method is tested by its applications to some nonlinear Wave equations.

TL;DR: In this paper, an extended Jacobi elliptic function expansion method is used with a computerized symbolic computation for constructing the exact periodic solutions of some polynomials or nonlinear evolution equations.

TL;DR: In this paper, an analytical investigation on stability and local bifurcation behavior due to exponentially decaying friction characteristics in the sliding domain of a simple friction oscillator, referred to as "mass-on-a-belt"-oscillator is presented.

TL;DR: It is proved that the proposed scheme has a second-order convergence in space and time numerically and is solved by an efficient nonlinear multigrid method for the Cahn–Hilliard equation.

TL;DR: In this paper, a one-dimensional chain of coupled oscillators with the long-range power-law interactions is considered, and the equations of motion in the infrared limit are mapped onto the continuum equation with the Riesz fractional derivative of order α, when 0

TL;DR: In this paper, a system of three van der Pol oscillators is studied and the existence of the in-phase mode in which the two identical oscillators have the same behavior is investigated.

TL;DR: In this paper, an adaptive linear feedback law with two controllers is proposed to ensure the global chaos synchronization of the nonlinear electrostatic and electromechanical systems, and numerical simulations results are presented to demonstrate the effectiveness of the proposed method.

TL;DR: In this article, an algorithm based on Adomian's decomposition method is developed to approximate the solution of the nonlinear fractional convection-diffusion equation ∂ α u ∂ t α = ∂ 2 u ∆ x 2 -c ∂ u ∀ ∂ x + Ψ ( u ) + f ( x, t ), 0 x 1, 0 α ⩽ 1, t > 0 The fractional derivative is considered in the Caputo sense.

TL;DR: In this article, the peristaltic flow of a fourth grade fluid in a channel under the considerations of long wavelength and low-Reynolds number is examined in a wave frame of reference moving with velocity of the wave.

TL;DR: In this article, the self-similar wall jet over an impermeable, resting plane surface (the Glauert-jet) is considered and an explicit series solution is obtained.

TL;DR: A fundamental flaw of thisCryptosystem is pointed out and a known plaintext attack is presented and a remedial modification is suggested, which avoids the flaw while keeping all the merits of the original cryptosystem.

TL;DR: The success of the NN in accurately predicting free convection in partitioned enclosures should help reduce analysis-time and effort and could potentially help solve some cases in which CFD fails to solve because of numerical instability.

TL;DR: It is shown that the proposed scheme is robust with respect to noise and parameter mismatch, and the convergence of the demodulator is established.

TL;DR: In this paper, the impact of integration over the paths of the Levy flights on the quantum mechanical kernel has been studied and an analytical expression for a free particle kernel was obtained in terms of the Fox H -function.

TL;DR: In this article, the authors study the dynamics of a thermo-mechanical model for a forced disc shaped, micromechanical limit cycle oscillator, and derive slow flow equations, which are then studied using the software packages AUTO and pplane7.

TL;DR: In this article, the effects of non-Newtonian fluid characteristics and uniform acceleration of a porous disk on the velocity field were analyzed both analytically and numerically, and a very good accuracy has been seen.

TL;DR: An analytic study on nonlinear variants of the RLW and the PHI-four equations is presented in this paper, where the sine-cosine method is used to derive compact and non-compact exact solutions for these variants.

TL;DR: In this article, an explicit formula for determining the radius of a limit cycle which is born in a Hopf bifurcation in a class of first order constant coefficient differential-delay equations is presented.

TL;DR: In this article, an analytical solution for the flow of a third grade fluid in a pipe is obtained using homotopy analysis method (HAM), the fluid considered is with variable space dependence viscosity.

TL;DR: In this paper, the dynamics of a circular cylindrical shell carrying a rigid disk on the top and clamped at the base is investigated using the Sanders-Koiter theory to develop a nonlinear analytical model for moderately large shell vibration.

TL;DR: In this article, the generalized Couette flow problem is considered and the series solution is developed and its convergence is discussed using homotopy analysis method and the results are presented graphically and the effects of emerging parameters are analyzed.

TL;DR: In this article, a new definition of an admitted Lie group of transformations for stochastic differential equations involving Brownian motion is presented, and the transformation of the dependent variables involves time as well.

TL;DR: In this paper, a case study of water quality assessment using exergy analysis is presented, where the concept of exergy has been applied to ecological evaluation, resource accounting and environmental impact assessment.

TL;DR: In this paper, the authors investigated the interplay between the thermal and electrostatic loadings in sensor diaphragms and showed that the dissipation and the elastic coupling vary on a slow scale and hence they can be neglected.

TL;DR: In this paper, nonlinear governing equations of motion are developed for the cracked rotor system with asymmetrical viscoelastic supports, and the effects of the crack and other system parameters on the dynamic stability of the rotor system are also investigated.

TL;DR: In this article, an extension of the exact solution of the steady laminar axisymmetric flow in a straight pipe of circular cross section with porous wall, given by R.M. Terrill, to the case of unsteady wall injection and/or suction is presented.