Başlık için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 218, listelenen: 147-166
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Numerical simulation of blow-up solutions for the generalized Davey-Stewartson system
(Taylor & Francis Ltd, 2011-03)Blow-up solutions for the generalized Davey-Stewartson system are studied numerically by using a split-step Fourier method. The numerical method has spectral-order accuracy in space and first-order accuracy in time. To ... -
A numerical study of the long wave-short wave interaction equations
(Elsevier B.V., 2007-03-07)Two numerical methods are presented for the periodic initial-value problem of the long wave-short wave interaction equations describing the interaction between one long longitudinal wave and two short transverse waves ... -
On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
(Springer International Publishing AG, 2017-08-03)We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order ... -
On extensions, Lie-Poisson systems, and dissipation
(Heldermann Verlag, 2022-07-06)Lie-Poisson systems on the dual spaces of unified products are studied. Having been equipped with a twisted 2-cocycle term, the extending structure framework allows not only to study the dynamics on 2-cocycle extensions, ... -
On head-on collision between two solitary waves in shallow water: the use of the extended PLK method
(Springer, 2015-10)In the present work, we examined the head-on collision of solitary waves in shallow water theory, through the use of extended Poincare–Lighthill–Kuo (PLK) method based on the combination of reductive perturbation method ... -
On progressive wave solution for non-planar KDV equation in a plasma with q-nonextensive electrons and two oppositely charged ions
(Işık University Press, 2020)In this paper, the ion-acoustic wave is investigated in a plasma with q-nonextensive electrons and two oppositely charged ions with varying masses. These parameters are found to modify the linear dispersion relation and ... -
On some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive case
(2005-06)By employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin viscoelastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some ... -
On spacelike rotational surfaces with pointwise 1-type gauss map
(Korean Mathematical Soc, 2015-01)In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-spade E-1(4) with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces ... -
On spherical submanifolds with finite type spherical Gauss map
(Walter De Gruyter GMBH, 2016-04-01)Chen and Lue (2007) initiated the study of spherical submanifolds with finite type spherical Gauss map. In this paper, we firstly prove that a submanifold Mn of the unit sphere double-struck Sm-1 has non-mass-symmetric ... -
On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map
(B. I. Verkin Institute for Low Temperature Physics and Engineering, 2016)In this paper, we examine pseudo-Riemannian submanifolds of a pseudo-hyperbolic space ℍm-1 s (-1) ⊂ Em s+1 with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub- ... -
On submanifolds with 2-Type Pseudo-Hyperbolic Gauss Map in Pseudo-Hyperbolic space
(Birkhauser Verlag AG, 2017-02)In this paper, we study pseudo-Riemannian submanifolds of a pseudo-hyperbolic space Hsm-1(-1)⊂Es+1m with 2-type pseudo-hyperbolic Gauss map. We give a characterization of proper pseudo-Riemannian hypersurfaces in ... -
On the class of harmonic mappings which is related to the class of bounded boundary rotation
(Elsevier Science Inc, 2015-09-15)The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero ... -
On the contribution of higher order terms to solitary waves in fluid filled elastic tubes
(Birkhauser Verlag, 2000-01)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in ... -
On the derivation of some non-linear evolution equations and their progressive wave solutions
(Pergamon-Elsevier Science, 2003-06)In the present work, utilizing the reductive perturbation method, the non-linear equations of a prestressed viscoelastic thick tube filled with a viscous fluid are examined in the longwave approximation and some evolution ... -
On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
(Pergamon-Elsevier Science Ltd., 2004-09)In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence ... -
On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
(Springer International Publishing AG, 2017-06-02)We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame ... -
On the fractional sums of some special functions
(Springer Basel AG, 2019-03)We obtain new relations involving the Lerch transcendent and establish some closed-form expressions using special functions like the Riemann and Hurwitz zeta functions and fractional sums. We also get some formulae for the ... -
On the Hochschild homology of smash biproducts
(Elsevier B.V., 2021-02)We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension ... -
On the realization of optical mappings and transformation of amplitudes by means of an aspherical "thick" lens
(Gustav Fischer Verlag, 2000)The constraints for the realization of a given optical mapping by means of an aspherical ''thick" lens are investigated by using the laws of geometrical optics. The analysis yields us a partial differential equation which ... -
On the third boundary value problem for parabolic equations in a non-regular domain of Rᴺ +1
(Işık University Press, 2016)In this paper, we look for sufficient conditions on the lateral surface of the domain and on the coefficients of the boundary conditions of a N−space dimensional linear parabolic equation, in order to obtain existence, ...
