Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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Interaction of nonlinear waves governed by Boussinesq equation
(Elsevier Ltd, 200612)In the present work, the nonlinear interactions of two acoustical waves governed by the Boussinesq equation with different wave numbers, frequencies and the group velocities are examined. For that purpose, we used the ... 
Interactions of nonlinear acoustic waves in a fluidfilled elastic tube
(PergamonElsevier Science, 200103)In the present work, the nonlinear interactions of two acoustical waves propagating in a fluidfilled elastic tube with different wave numbers, frequencies and group velocities are examined. Employing the multiplescale ... 
Interactions of nonlinear electronacoustic solitary waves with vortex electron distribution
(American Institute of Physics Inc., 20150201)In the present work, based on a one dimensional model, we consider the headoncollision of nonlinear electronacoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortexlike ... 
Interactions of nonlinear ionacoustic waves in a collisionless plasma
(Elsevier Science BV, 20070915)In the present work, based on a onedimensional model, the interaction of two solitary waves propagating in opposite directions in a collisionless plasma is investigated by use of the extended PoincareLighthillKuo (PLK) ... 
Interactions of nonlinear waves in fluidfilled elastic tubes
(Verlag Z Naturforsch, 200702)In this work, treating an artery as a prestressed thinwalled elastic tube and the blood as an inviscid fluid, the interactions of two nonlinear waves propagating in opposite directions are studied in the longwave approximation ... 
Inverse solution of thermoacoustic wave equation for cylindrical layered media
(Frontiers Media S.A., 20220330)Thermoacoustic imaging is a crossbred approach taking advantages of electromagnetic and ultrasound disciplines, together. A significant number of current medical imaging strategies are based on reconstruction of source ... 
An inverse source problem connected with thermoacoustic imaging in multilayer planar medium
(Springer, 20190220)We derived analytical forward and inverse solution of thermoacoustic wave equation for nonhomogeneous medium. We modelled the nonhomogeneous medium as a multilayer planar medium and defined initial conditions, continuity ... 
An investigation of the certain class of multivalent harmonic mappings
(Eudoxus Press, 201603)The main purpose of the present paper is to investigate some properties of the certain class of sensepreserving pvalent harmonic mappings in the open unit disc D = {z is an element of C parallel to z vertical bar < 1}. 
Lagrangian dynamics on matched pairs
(Elsevier Science BV, 201701)Given a matched pair of Lie groups, we show that the tangent bundle of the matched pair group is isomorphic to the matched pair of the tangent groups. We thus obtain the Euler–Lagrange equations on the trivialized matched ... 
Largest eigenvalues of the discrete pLaplacian of trees with degree sequences
(Int Linear Algebra Soc, 200903)Trees that have greatest maximum pLaplacian eigenvalue among all trees with a given degree sequence are characterized. It is shown that such extremal trees can be obtained by breadthfirst search where the vertex degrees ... 
Lie cebiroidleri üzerindeki Lagrange dinamiğinin eşlenmesi problemi üzerine
(Süleyman Demirel Üniversitesi, 20210815)Lie cebiroidleri, bir anlamda tanjant demetini ve Lie cebiri yapısını beraber ihtiva eden ve fakat daha genel olan geometrik inşaalardır. Lagrange dinamiğinin en genel ifadesi Lie cebiroidleri üzerinde mümkündür. Bu makalede, ... 
Linearization of secondorder jumpdiffusion equations
(Springer Berlin Heidelberg, 20130301)We give the exact linearization criterion for the secondorder jumpdiffusion equations. We also present several illustrative examples. 
Localized travelling waves in a prestressed thick elastic tube
(PergamonElsevier Science, 200110)In the present work, by using the exact nonlinear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is ... 
Matched pair analysis of the Vlasov plasma
(American Institute of Mathematical SciencesAIMS, 202106)We present the Hamiltonian (LiePoisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these (LiePoisson) systems as couplings of ... 
Matched pairs of minvertible hopf quasigroups
(Institute of Mathematics, Academy of Sciences Moldova, 2020)The matched pair theory (of groups) is studied for a class of quasigroups; namely, the minverse property loops. The theory is upgraded to the Hopf level, and the minvertible Hopf quasigroups are introduced. 
A method for higherorder expansion in nonlinear ionacoustic waves
(PergamonElsevier Science, 200003)The basic equations describing the nonlinear ionacoustic waves in a cold collisionless plasma, in the longwave limit, is reexamined through the use of a modified multiplescale expansion method. Expanding the field ... 
Minimal rotational surfaces in the product space Q(?)(2) X S1
(World Scientific Publ Co Pte Ltd, 20180701)In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S1, where Q(2)epsilon denotes either the unit 2sphere S2 or the 2dimensional hyperbolic space H2 of constant curvature 1, according ... 
The modified reductive perturbation method as applied to Boussinesq equation: strongly dispersive case
(Elsevier Science Inc, 20050505)In this work, we extended the application of "the modified reductive perturbation method" to Boussinesq equation for strongly dispersive case and tried to obtain the contribution of higher order terms in the perturbation ... 
A modified reductive perturbation method as applied to nonlinear ionacoustic waves
(Physical Society Japan, 199906)The basic equations describing the nonlinear ionacoustic waves in a cold collisionless plasma, in the longwave limit, is reexamined through the use of a modified reductive perturbation method. Introducing the concept of ...