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  1. 手机体育投注平台 Book Series

    Applied Mathematical Sciences

    Volume 1 / 1971 to Volume 204 / 2020

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    手机体育投注平台 Book

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    手机体育投注平台 Chapter

    The Matrix Schrödinger Equation and the Characterization of the Scattering Data

    In this chapter we describe the basic ingredients of the direct and inverse scattering problems for the matrix Schrödinger equation on the half line with the general self-adjoint boundary condition. We show ho...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    手机体育投注平台 Chapter

    Direct Scattering II

    手机体育投注平台 In this chapter the scattering process is described physically and mathematically, and the definition of the scattering operator is provided in terms of the wave operators introduced by Møller. The role of the...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    手机体育投注平台 Chapter

    Some Explicit Examples

    手机体育投注平台 In this chapter we illustrate the theory presented earlier via explicitly solved examples. It is shown how the Marchenko integral equation can yield explicitly solved examples when its kernel contains a matrix...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    手机体育投注平台 Chapter

    Introduction

    In this introductory chapter the goals of the monograph are described, the contents of the remaining chapters and Appendix A are outlined, and the relevant general refer...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    Chapter

    Direct Scattering I

    手机体育投注平台 In this chapter we present the solution to the direct scattering problem for the half-line matrix Schrödinger equation using an input data set consisting of a matrix potential and a self-adjoint boundary condi...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    Chapter

    Inverse Scattering

    In this chapter we analyze the inverse scattering problem of recovery of the corresponding input data set D in the Faddeev class from a scattering data set S手机体育投注平台 in the Marchenko class. We discuss the nonuniqueness a...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    Living Reference Work Entry In depth手机体育投注平台

    Inverse Scattering Transform and the Theory of Solitons

    Tuncay Aktosun in Encyclopedia of Complexity and Systems Science

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    Reference Work Entry In depth手机体育投注平台

    Inverse Scattering Transform and the Theory of Solitons

    Glossary

    Tuncay Aktosun in Mathematics of Complexity and Dynamical Systems (2011)

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    手机体育投注平台 Chapter and Conference Paper

    Exact Solutions to the Nonlinear Schrödinger Equation

    A review of a recent method is presented to construct certain exact solutions to the focusing nonlinear Schrödinger equation on the line with a cubic nonlinearity. With motivation by the inverse scattering tra...

    Tuncay Aktosun, Theresa Busse, Francesco Demontis in Topics in Operator Theory (2010)

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    Reference Work Entry In depth手机体育投注平台

    Inverse Scattering Transform and the Theory of Solitons

    手机体育投注平台

    Tuncay Aktosun in Encyclopedia of Complexity and Systems Science (2009)

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    Chapter and Conference Paper

    Inverse Scattering to Determine the Shape of a Vocal Tract

    The inverse scattering problem is reviewed for determining the cross sectional area of a human vocal tract. Various data sets are examined resulting from a unit-amplitude, monochromatic, sinusoidal volume velo...

    Tuncay Aktosun in The Extended Field of Operator Theory (2007)

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    Chapter and Conference Paper

    Inverse Scattering with Rational Scattering Coefficients and Wave Propagation in Nonhomogeneous Media

    The inverse scattering problem for the one-dimensional Schrödinger equation is considered when the potential is real valued and integrable and has a finite first-moment and no bound states. Corresponding to su...

    Tuncay Aktosun, Michael H. Borkowski in Recent Advances in Operator Theory and its… (2005)

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    Chapter and Conference Paper

    Inverse Scattering Transform, KdV, and Solitons

    In this review paper, the Korteweg-de Vries equation (KdV) is considered, and it is derived by using the Lax method and the AKNS method. An outline of the inverse scattering problem and of its solution is pres...

    Tuncay Aktosun in Current Trends in Operator Theory and its Applications (2004)

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    Article

    Direct and inverse scattering for selfadjoint Hamiltonian systems on the line

    A direct and inverse scattering theory on the full line is developed for a class of first-order selfadjoint 2n×2n手机体育投注平台 systems of differential equations with integrable potential matrices. Various properties of the co...

    Tuncay Aktosun, Martin Klaus in Integral Equations and Operator Theory (2000)

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    手机体育投注平台 Article

    Inverse scattering in one-dimensional nonconservative media

    The inverse scattering problem arising in wave propagation in one-dimensional non-conservative media is analyzed. This is done in the frequency domain by considering the Schrödinger equation with the potentialikP...

    Tuncay Aktosun, Martin Klaus in Integral Equations and Operator Theory (1998)

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    Chapter

    Wave Scattering in 1-D Nonconservative Media

    In this review paper, the generalized Schrödinger equation % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1...

    Tuncay Aktosun, Martin Klaus, Cornelis van der Mee in Spectral and Scattering Theory (1998)

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    Chapter and Conference Paper

    Inverse Scattering in One Dimension for a Generalized Schrödinger Equation

    The generalized one-dimensional Schrödinger equation d 2 ψ/dx 2+k 2 H(x)2 ψ = Q(x)ψ is considered, where H(x) → 1 and Q(x) → 0 a...

    Tuncay Aktosun, Cornelis van der Mee in Quantum Inversion Theory and Applications (1994)

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    手机体育投注平台 Chapter

    Inverse scattering in one dimension for a generalized Schrödinger equation

    The generalized one-dimensional Schrödinger equation \(\frac{{d^2 \psi }}{{dx^2 }} + k^2 H(x)^2 \psi = Q(x)\psi\) 手机体育投注平台 is consi...

    Tuncay Aktosun, Cornelis van der Meet in Quantum Inversion Theory and Applications (1994)

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