The Inverse Scattering Method for the VPE
Solutions associated with discrete and continuous spectrums in the inverse scattering method for the Vakhnenko-Parkes equation
... the VPE In this subsection we will consider the general case, when both the bound state spectrum and the continuous spectrum are taken into account in the associated spectral ...
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A Perturbation Method for Inverse Scattering in Three Dimensions Based on the Exact Inverse Scattering Equations
... In part this situation arises since no exact inverse scattering equations have been developed for the acoustic, elastodynamic or electrodynamic wave equations in t[r] ...
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A conformal mapping method in inverse obstacle scattering
... the inverse problem to reconstruct a perfectly conducting inclusion in a homogeneous background medium from Cauchy data for elec- trostatic imaging, that is, for solving an inverse boundary value problem ...
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A hybrid method for inverse scattering for shape and impedance
... the inverse scattering problem ...this method does not need the solution to the forward problem, the reconstructions obtained are not as accurate as those obtained by Newton ...
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On the Inverse Scattering Method for Integrable PDEs on a Star Graph
... Fokas method, there exist the so-called linearizable boundary conditions which take their name from the fact that they allow for a solution of the global relation by algebraic means only, hence rendering the ...
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On the Inverse Scattering Method for Integrable PDEs on a Star Graph
... Fokas method, there exist the so-called linearizable boundary conditions which take their name from the fact that they allow for a solution of the global relation by algebraic means only, hence rendering the ...
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A novel nonlinear evolution equation integrable by the inverse scattering method
... This equation arose as a result describing the high-frequency perturbations in a relaxing medium. The VE has two families of travelling wave solutions, both of which are stable to long wavelength perturbations. In ...
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A hybrid method for inverse scattering for sound-soft obstacles in R3
... The inverse problem that we are interested in is the following: Given an incident field u i and the corresponding far-field pattern u ∞ , determine the position and shape of the obsta- cle ...numerical ...
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Signal processing based method for solving inverse scattering problems
... the inverse algorithm, since it is recognized that sampling theorems are written for linear problems based on ...of scattering strength ...strongly scattering objects, in order to extract additional ...
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The factorization method for inverse elastic scattering from periodic structures
... the inverse scattering of time-harmonic elastic waves from rigid periodic ...factorization method to identify an unknown grating surface from knowledge of the scattered compressional or shear waves ...
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Interplay between the Inverse Scattering Method and Fokas's Unified Transform with an Application
... The same universal character of our matrix UT is supported by the fact that the nonlocal reduction introduced in [28] as a new, and indeed not seen before, reduction of the standard 2 × 2 AKNS scheme appears simply as a ...
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An optimization method in inverse elastic scattering for one-dimensional grating profiles
... In this paper we always assume that the incident elastic wave is an incoming pressure wave, and our method can be easily extended to the case of an incident shear wave. We present numerical results for C 2 -smooth ...
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Integration of Image Segmentation Method in Inverse Scattering for Brain Tumour Detection
... Abstract—This paper presents a microwave imaging for brain tumour detection utilizing Forward- Backward Time-Stepping (FBTS) inverse scattering technique. This technique is applied to solve electromagnetic ...
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The inverse scattering transform and solitons
... In this thesis an overview of the IST is presented by solving the initial- value problem for the KdV equation. For this purpose the mathematical discussion starts with the modified KdV [mKdV] equation, which was the ...
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A New Approach for Solving Inverse Scattering Problems with Overset Grid Generation Method
... (FDTD) method with Overset Grid Generation (OGG) method to solve the inverse scattering problems for electromagnetic (EM) ...FDTD method is combined with OGG method to reduce the ...
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Inverse scattering without phase information
... mechanical scattering experiments (in the framework of model described by equation ...complete scattering amplitude f is not accessible for direct measurements, whereas the phaseless scattering data ...
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Weak Gradient Inverse Scattering Solutions
... Blackledge, J.:Weak Gradient Inverse Scattering Solutions. ISAST Trans. on Computing and Intelligent Systems, vol: 3, issue: 1, pages: 15 - 23, 2011.(ISSN 1798-2448) This Conference Paper is brought to you ...
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Variational methods for inverse scattering problems
... An extended notion of topological derivative allows to design non–monotone schemes, useful to capture holes The algorithm for shape reconstruction can be combined with a gradient method [r] ...
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An Inverse Electromagnetic Scattering Problem for an Ellipsoid
... An Inverse Electromagnetic Scattering Problem for an Ellipsoid Evangelia ...Abstract—The scattering problem of time-harmonic electromagnetic plane waves by an impedance and a dielectric ellipsoid is ...
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Numerical methods in inverse obstacle scattering
... direct scattering problem, which is linear and well- posed in the sense of Hadamard, the inverse problem is nonlinear, since the solution to the direct scattering problem depends nonlinearly on the ...
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