Başlık için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 218, listelenen: 135-154
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A note on the analytical solution to the modified perturbed Korteweg-de Vries equation
(Elsevier Science, 2003-01-25)Motivated with a solitary wave type of solution to modified Korteweg-de Vries (KdV) equation, in this work we shall seek a travelling wave solution to the modified perturbed KdV equation. It is observed that the modified ... -
A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution
(Amer Inst Physics, 2015-09)In the present work, we consider the propagation of nonlinear electron-acoustic non-planar waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. ... -
A note on the cylindrical waves with transverse distortion in a plasma with vortex electron distribution
(Işık University Press, 2020-01-20)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) ... -
A note on the exact travelling wave solution to the KdV-Burgers equation
(Elsevier Science, 2003-10)In the present note, by use of the hyperbolic tangent method, a progressive wave solution to the Korteweg-de Vries-Burgers (KdVB) equation is presented. The solution we introduced here is less restrictive and comprises ... -
A note on the interactions of nonlinear waves governed by the generalized boussinesq equation
(Azerbaijan National Acad Sci, 2014)In this work, based on a one dimensional model, the interaction of two solitary waves propagating in opposite directions in a fluid whose equations are governed by the generalized Boussinesq equation, by use of the ... -
A note on the progressive wave solution of the perturbed Korteweg-deVries equation with variable dissipation
(Elsevier Science Inc, 2014-12-01)In this note, utilizing the method presented in Engelbrecht (1991) and Demiray (2002) we have studied the propagation of progressive waves in perturbed KdV equation with variable dissipation coefficient. The cases of ... -
A note on the solution of perturbed Korteweg-de Vries equation
(Elsevier Science, 2002-11-10)In this work, utilizing the hyperbolic tangent method, a travelling wave solution is presented for the perturbed Korteweg-de Vries (KdV) equation, which was studied before by inverse scattering [Elements of soliton theory, ... -
A note on the travelling wave solution to perturbed Burgers' equation (vol 26, pg 37, 2002)
(Elsevier Science, 2003-06)[No abstract available] -
A note on the travelling wave solution to the perturbed Burgers' equation
(Elsevier Science, 2002-06)In this work, utilizing the hyperbolic tangent method, a travelling wave solution is presented for the perturbed Burgers' equation. which has not been studied before in the existing literature. It is observed that the ... -
A note on the wave propagation in water of variable depth
(Elsevier Science Inc, 2011-11-01)In the present work, utilizing the two dimensional equations of an incompressible inviscid fluid and the reductive perturbation method we studied the propagation of weakly nonlinear waves in water of variable depth. For ... -
Notes on Harmonic Functions for which the second Dilatation is α - spiral
(Eudoxus Press, 2015-06)In this study, we consider, f = h + (g) over bar harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as S-HPST*(alpha, beta) We ... -
Notes on starlike log-harmonic functions of order α
(2013)For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(?) and G*LH(?) of S*LH(?) consisting of all starlike log-harmonic functions of order ? (0 ? ? < 1) are considered. The object of ... -
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 ...
