Güncel Gönderiler: Turkic World Mathematical Society Journal of Applied and Engineering Mathematics
Toplam kayıt 1045, listelenen: 81-100
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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] -
Graph invariants based on distance between edges and double graphs
(Işık University Press, 2024-04)Topological indices are numerical parameters of graph which characterize its topology and are invariant under graph isomorphism. They are applied in theoretical chemistry for the design of chemical compounds with certain ... -
Global existence of solutions for a weakly coupled system of three damped ?-evolution equations
(Işık University Press, 2024-04)In this paper our purpose is the study of the Cauchy problem for weakly coupled system of three semi-linear damped ?-evolution equations. Using (L? ? L²) -L² linear estimates combined with fractional Gagliardo-Nirenberg ... -
Connecting statistics, probability, algebra and discrete mathematics
(Işık University Press, 2024-04)In this paper, we connect four different branches of Mathematics: Statistics, Probability, Algebra and Discrete Mathematics with the objective of introducing new results on Markov chains and evolution algebras obtained by ... -
Solvability of a resonant fractional-order p-Laplacian boundary value problem with two-dimensional kernel
(Işık University Press, 2024-04)The goal of this study is to establish the existence of solutions for a fractionalorder p-Laplacian boundary value problem with a two-dimensional kernel at resonance case. The non-linearity of this problem forced us to ... -
Some planar graphs with ten-sided faces and their metric dimension
(Işık University Press, 2024-04)Let ? = (V, E) be a non-trivial planar connected graph with vertex set V and edge set E. A set of ordered vertices R from V (?) is said to be a resolving set for ? if each vertex of ? is uniquely determined by its vector ... -
Optimal management of a prey-predator system in a polluted environment with effort shared between pollution reduction and harvesting
(Işık University Press, 2024-04)This paper is concerned with the optimal management of a prey-predator system in a polluted environment with effort allocated between pollution reduction and prey harvesting. The growth rates of species and, consequently, ... -
Fitted computational method for convection dominated diffusion equations with shift arguments
(Işık University Press, 2024-04)A time dependent singularly perturbed convection diffusion equation involving shift parameters are considered. The terms containing the shifts are treated using Taylor series approximation up to second order terms. Classical ...
