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Toplam kayıt 8, listelenen: 1-8
The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
(IOP Publishing Ltd, 2011-04)
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity. The nonlocal nature of 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 ...
Stability of solitary waves for three-coupled long wave-short wave interaction equations
(Oxford Univ Press, 2011-08)
In this paper, we consider a three-component system of 1D long wave-short wave interaction equations. The system has two-parameter family of solitary wave solutions. We prove orbital stability of the solitary wave solutions ...
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
(Academic Press Inc Elsevier Science, 2011-02-01)
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative. Some well-known ...
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 ...
Some notes on spectra of cographs
(Charles Babbage Res Ctr, 2011-07)
A cograph is a P-4-free graph. We first give a short proof of the fact that 0 (-1) belongs to the spectrum of a connected cograph (with at least two vertices) if and only if it contains duplicate (resp. coduplicate) vertices. ...
An application of modified reductive perturbation method to long water waves
(Pergamon-Elsevier Science Ltd, 2011-12)
In this work, we extended the application of "the modified reductive perturbation method" to long water waves and obtained the governing equations as the KdV hierarchy. Seeking a localized travelling wave solutions to these ...
An application of modified reductive perturbation method to symmetric regularized-long-wave
(Işık University Press, 2011-03-24)
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 ...