inverse scattering method
Solutions associated with discrete and continuous spectrums in the inverse scattering method for the Vakhnenko-Parkes equation
... the inverse scattering method is the most appropriate way of tackling the initial value problem although its employment is a fairly difficult ...
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On the Inverse Scattering Method for Integrable PDEs on a Star Graph
... the inverse scattering method (ISM) [2] and its refinements [3, 4] through the systematic use of a Lax pair [5] represents a cornerstone of modern integrable ...
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Interplay between the Inverse Scattering Method and Fokas's Unified Transform with an Application
... It is known that the initial-boundary value problem for certain integrable PDEs on the half-line with integrable boundary conditions can be mapped to a special case of the Inverse Scattering Method ...
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On the Inverse Scattering Method for Integrable PDEs on a Star Graph
... the inverse scattering method (ISM) [2] and its refinements [3, 4] through the systematic use of a Lax pair [5] represents a cornerstone of modern integrable ...
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A novel nonlinear evolution equation integrable by the inverse scattering method
... the inverse scattering transform (IST) ...Hirota’s method and the IST method are ...The inverse scattering method has a third order eigenvalue ...
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Yang-Baxter and reflection maps from vector solitons with a boundary
... inverse scattering method valid for the problem on the full line has been suitably adapted to yield reconstruction formulae for the function R(x, t) ...
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Yang–Baxter and reflection maps from vector solitons with a boundary
... In this section, we rst review some basic concepts of the inverse scattering method (ISM) and its relation to the dressing method. The main contribution relies on the permutability property of ...
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... Their approach was based on the connection between the KdV equation and the spectral theory for the Sturm-Liouville operator on the line. Shortly thereafter, Lax [2] pointed out the general character of the ...
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Factorization in integrable systems with impurity
... quantum inverse scattering method applied to the nonlinear Schr¨odinger equation with impurity [19], which constitutes the first known example of this kind, and in the investigation of the ...
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NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION
... the inverse scattering method [1], the variational iteration method [2], the homotopy perturbation method [3, 4, 5], B¨acklund transformation method [6, 7], the ...
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Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces
... soliton solutions which we will call quadruplet and doublet solitons respectively. We outline the purely algebraic construction for deriving the N -soliton solutions for both types of solitons and provide the explicit ...
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Classifying Exact Traveling Wave Solutions to the Coupled Higgs Equation
... the inverse scattering method [1], Jacobi elliptic function expansion method [2], homogeneous balance me- thod [3], ( G G ′ ) -expansion method [4], and so ...system method to ...
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On a systematic approach to defects in classical integrable field theories
... the inverse scattering method for evolution equations on the ...the inverse part of the method (the Gelfan’d-Levitan-Marchenko equations [22, 23]) one can deduce the time evolution of ...
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Vol 2016
... -expansion method [1], inverse scattering method [2,4], Hirota’s bilinear method [5,6], the tanh method [7,8], the sine-cosine method [9,10], Backlund trans- formation ...
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ANALYTICAL SOLUTION OF TIME-FRACTIONAL NONLINEAR BENJAMIN-BONA-MAHONY EQUATION BY RESIDUAL POWER SERIES METHOD
... as inverse scattering method [1], Adomian’s decomposition method [2], Homotopy analysis method [3, 4], Homotopy perturbation method [5, 6], variational iteration method ...
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Solitary Wave Solutions for A Generalized Broer-Kaup System
... In the past few decades, there has been noticeable progress in the construction of exact solutions for non-linear partial differential equations which has long been a major concern for both mathematicians and ...
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Adapting the Normalized Cumulative Periodogram Parameter-Choice Method to the Tikhonov Regularization of 2-D/TM Electromagnetic Inverse Scattering Using Born Iterative Method
... The inverse scattering problem consists of determining the shape, location and constitutive parameters, ...The inverse scattering problem has been an area of interest during the last two ...
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Blow up solution and stability to an inverse problem for a pseudo parabolic equation
... Additional information about the solution to the inverse problem is given in the form of the integral overdetermination condition (). From the physical point of view, this condi- tion may be interpreted as ...
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Inverse Scattering of a Conducting Cylinder in Free Space by Modified Fireworks Algorithm
... moment method solution of scattering integral equations and our modified fireworks algorithm to reconstruct the shape of a conducting cylinder in free ...The inverse scattering problem is first ...
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Brain Derived Neurotrophic Factor Modulates Behavioral and Brain Responses to Social Stress
... matrix A makes this approach very difficult. Moreover, to implement a direct method, one has to find a “nearly optimal” regularization parameter, which may result in solving an extra (sometimes nonlinear) problem. ...
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