Güncel Gönderiler: Turkic World Mathematical Society Journal of Applied and Engineering Mathematics
Toplam kayıt 1112, listelenen: 141-160
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Head-on collision of the solitary waves in fluid-filled elastic tubes
(Işık University Press, 2018-04)In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the head-on collision of solitary waves in arteries. Introducing a set of stretched coordinates ... -
Harmonic resonance phenomena on nonlinear SH waves
(Işık University Press, 2023-04)The interaction of shear horizontal (SH) waves in a two layered elastic medium and its mth harmonic component is studied. The dispersion relation is analysed to obtain the wave number-phase velocity pairs where the third ... -
Computational and asymptotic methods in aeroacoustics with applications
(Işık University Press, 2011-01)In this article the computational and asymptotic methods used in aeroacoustics are reviewed. In particular, two different aeroacoustic applications are demonstrated.In the first problem we investigate the first and second ... -
Compressive split-step Fourier method
(Işık University Press, 2015-04)In this paper an approach for decreasing the computational effort required for the split-step Fourier method (SSFM) is introduced. It is shown that using the sparsity property of the simulated signals, the compressive ... -
Compressive spectral renormalization method
(Işık University Press, 2018-04)In this paper a novel numerical scheme for finding the sparse self-localized states of a nonlinear system of equations with missing spectral data is introduced. As in the Petviashivili's and the spectral renormalization ... -
Asymptotic solutions of love wave propagation in a covered half-space with inhomogeneous initial stresses G(3)(1)
(Işık University Press, 2015-01)The dispersive behavior of Love waves in an elastic half-space substrate covered by an elastic layer under the effect of inhomogeneous initial stresses has been investigated. Classical linearized theory of elastic waves ... -
Modulational instability of three dimensional waves in a plasma with vortex electron distribution
(Işık University Press, 2019-07)In the present work, employing the three dimensional equations of a plasma composed of a cold electron fluid, hot electrons obeying a trapped / vortex-like distribution, and stationary ions, we study the amplitude modulation ... -
A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics
(Işık University Press, 2021-01)We investigate the rogue wave dynamics of the dissipative Kundu-Eckhaus equation. With this motivation, we propose a split-step Fourier scheme for its numerical solution. After testing the accuracy and stability of the ... -
A note on the cylindrical waves with transverse distortion in a plasma with vortex electron distribution
(Işık University Press, 2020-01)In the present work, employing the conventional reductive perturbation method and the nonlinear field equations of a plasma consisting of a cold electron uid, hot electrons obeying a non-isothermal (trapped/vortex-like) ... -
Harmonic mappings related to starlike function of complex order α
(Işık University Press, 2014-01)Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)| h(z) = z + ∑∞ n=2 anz n , g(z) = ∑∞ n=1 bnz n } The purpose of this talk is to present some results about harmonic mappings which was introduced ... -
Higher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distribution
(Işık University Press, 2018-04)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid q-nonextensive nonthermal velocity distribution are examined through the use of ... -
Rogue wavefunctions due to noisy quantum tunneling potentials
(Işık University Press, 2017-04)In this paper, we study the effects of white-noised potentials on nonlinear quantum tunneling. We use a split-step scheme to numerically solve the nonlinear Schrodinger equation (NLSE) with a tunneling potential. We consider ... -
An application of modified reductive perturbation method to symmetric regularized-long-wave
(Işık University Press, 2011-01)In this work, we extended the application of "the modified reductive perturbation method" to symmetrical regularized long waves with quadratic nonlinearity and obtained various form of KdV equations as the governing ... -
Extremum seeking control of uncertain systems
(Işık University Press, 2017-01)Extremum seeking is used in control problems where the reference trajectory or reference set point of the system is not known but it is searched in real time in order to maximize or minimize a performance function representing ... -
Contribution of higher order terms to the nonlinear shallow water waves
(Işık University Press, 2012-04)In this work, by utilizing the scaled multiple-space expansion method, we studied the propagation of weakly nonlinear waves in shallow water and obtained the governing evolution equations of various order terms in the ... -
Analytical and numerical aspects of the dissipative nonlinear Schrödinger equation
(Işık University Press, 2016-01)In this paper various analytical and numerical aspects of the dissipative nonlinear Schrodinger equation (d-NLS equation) are discussed. Decaying solitary wave type solutions derived by Demiray is reviewed and a new ... -
Some results on a subclass of harmonic mappings of order alpha
(Işık University Press, 2014-01)Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)| h(z) = z + ?? n=2 anz?, g(z) = b1z + ?? n=2 bnz?, b1 < 1 } where h(z) and g(z) are analytic. Additionally f(z) ? SH(?) ? | zh? (z) ? zg?(z) h(z) ... -
An approximate wave solution for perturbed KDV and dissipative NLS equations: weighted residual method
(Işık University Press, 2019-10)In the present work, we modified the conventional "weighted residual method" to some nonlinear evolution equations and tried to obtain the approximate progressive wave solutions for these evolution equations. For the ... -
Book Review: Oktay Veliyev. Multidimensional Periodic Schrödinger Operator (Perturbation Theory and Applications)
(Işık University Press, 2015-04)[No abstract available]
