scattering.: 4960  The direct scattering transform describes how a function scatters waves or generates bound-states.: 39–43  The inverse scattering transform...

and physics, the inverse scattering problem is the problem of determining characteristics of an object, based on data of how it scatters incoming radiation...

Martin Kruskal and Norman Zabusky in 1965, which led to the inverse scattering transform method in 1967. In the special case of Hamiltonian systems, if...

Zabusky and Kruskal in 1965 and then the development of the inverse scattering transform in 1967. The KdV equation is a nonlinear, dispersive partial...

introduced by Peter Lax to discuss solitons in continuous media. The inverse scattering transform makes use of the Lax equations to solve such systems. A Lax pair...

connection between light scattering and acoustic scattering in the 1870s. Near the end of the 19th century, the scattering of cathode rays (electron...

method. An important concept in the inverse scattering transform is the Lax representation. The quantum inverse scattering method starts by the quantization...

transform Laplace transform Inverse Laplace transform Two-sided Laplace transform Inverse two-sided Laplace transform Laplace–Carson transform Laplace–Stieltjes...

left and right halves of the result of the transform. The inverse transform is given by: Inverse transform Eq.2. is also N {\displaystyle N} -periodic...

overview of nonlinear water waves". Nonlinear Ocean Waves and the Inverse Scattering Transform. Academic Press. pp. 3 ff. ISBN 978-0-12-528629-9. Alexander...

In physics, Raman scattering or the Raman effect (/ˈrɑːmən/) is the inelastic scattering of photons by matter, meaning that there is both an exchange of...

function over that line. The transform was introduced in 1917 by Johann Radon, who also provided a formula for the inverse transform. Radon further included...

the 2D planar Inverse ISAR transform include: Image blocking modeling errors: The Inverse ISAR transform currently assumes that scatterers are on a planar...

The soliton solutions are typically obtained by means of the inverse scattering transform, and owe their stability to the integrability of the field equations...

one class of nonlinear inverse problems was so before 1970, that of inverse spectral and (one space dimension) inverse scattering problems, after the seminal...

A Fast Fourier Transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis...

the Kadomtsev–Petviashvili equation, it is integrable via the inverse scattering transform for the 2-dimensional stationary Schrödinger equation. Similarly...

presence of solitons. Techniques for solving these include the inverse scattering transform and the method of Lax pairs, the Yang–Baxter equation and quantum...

Interference (wave propagation) Interferometry Internal wave Inverse scattering transform Ion acoustic wave Irradiance Kelvin wave Kinematic wave Knife-edge...

as breather solutions. It can be solved exactly by use of the inverse scattering transform, as shown by Zakharov & Shabat (1972) (see below). The other...

equation is completely integrable. It can also be solved using the inverse scattering transform much like the nonlinear Schrödinger equation. In 2002, the regularized...

(black hole entropy), Vladimir A. Belinsky (BKL conjecture, inverse scattering transform solution generating methods), Peter G. Bergmann (constrained...

therefore susceptible to solution by techniques resembling the inverse scattering transform which was originally developed to solve the Korteweg-de Vries...

"The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons", The sine-Gordon Model and its Applications, vol. 10...

obey the Pauli matrix algebra. Under periodic boundary conditions, the transformed Hamiltonian can be shown is of a very similar form: H ^ = − g J ∑ j =...

The Belinski–Zakharov transform is a generalization of the inverse scattering transform. The solutions produced by this transform are called gravitational...

theory, an axiomatic basis for part of non-standard analysis Inverse scattering transform, a method for solving some non-linear partial differential equations...

ISBN 978-1-4214-1079-1. Alfred Osborne (2010). Nonlinear Ocean Waves & the Inverse Scattering Transform. Academic Press. ISBN 978-0-08-092510-3. Michael E. McCormick...

determination. Dynamic light scattering provides insight into the dynamic properties of soft materials by measuring single scattering events, meaning that each...

Euler–Lagrange equation Nonlinear system Integrable system Inverse scattering transform Dispersive partial differential equation Logan, J. David (1994)...