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Toplam kayıt 83, listelenen: 1-10
Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube
(Pergamon-Elsevier Science Ltd, 2008-04)
In this work, treating the artery as a prestressed thin elastic tube and the blood as an incompressible Newtonian fluid with variable viscosity which vanishes on the boundary of the tube, the propagation of nonlinear waves ...
Coupled quintic nonlinear Schrodinger equations in a generalized elastic solid
(IOP Publishing Ltd, 2004-10-08)
In the present study, the nonlinear modulation of transverse waves propagating in a cubically nonlinear dispersive elastic medium is studied using a multiscale expansion of wave solutions. It is found that the propagation ...
Algebraic connectivity and degree sequences of trees
(Elsevier Science Inc, 2009-01-15)
We investigate the structure of trees that have minimal algebraic connectivity among all trees with a given degree sequence. We show that such trees are caterpillars and that the vertex degrees are non-decreasing on every ...
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 ...
Global existence and nonexistence results for a generalized Davey-Stewartson system
(IOP Publishing, 2004-12-03)
We consider a system of three equations, which will be called generalized Davey-Stewartson equations, involving three coupled equations, two for the long waves and one for the short wave propagating in an infinite elastic ...
Non-linear waves in a viscous fluid contained in an elastic tube with variable cross-section
(Elsevier Ltd, 2006-04)
In the present work, treating the large arteries as a thin-walled, long and circularly cylindrical, prestressed elastic tube with variable cross-section and using the reductive perturbation method, we have studied the ...
A Higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity
(Oxford Univ Press, 2009-02)
In one space dimension, a non-local elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higher-order Boussinesq equation using ...
Non-linear waves in a fluid-filled inhomogeneous elastic tube with variable radius
(Pergamon-Elsevier Scıence Ltd, 2008-05)
In the present work, by employing the non-linear equations of motion of an incompressible, inhomogeneous, isotropic and prestressed thin elastic tube with variable radius and the approximate equations of an inviscid fluid, ...
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, ...
Standing waves for a generalized Davey-Stewartson system
(IOP Publishing, 2006-10-27)
In this paper, we establish the existence of non-trivial solutions for a semi-linear elliptic partial differential equation with a non-local term. This result allows us to prove the existence of standing wave ( ground ...