and physics, the inverse scattering problem is the problem of determining characteristics of an object, based on data of how it scatters incoming radiation... 3 KB (323 words) - 04:05, 19 March 2024 |
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... 28 KB (3,405 words) - 01:47, 20 March 2024 |
Zabusky and Kruskal in 1965 and then the development of the inverse scattering transform in 1967. The KdV equation is a nonlinear, dispersive partial... 26 KB (3,327 words) - 08:58, 17 April 2024 |
connection between light scattering and acoustic scattering in the 1870s. Near the end of the 19th century, the scattering of cathode rays (electron... 30 KB (3,725 words) - 10:22, 23 February 2024 |
method. An important concept in the inverse scattering transform is the Lax representation. The quantum inverse scattering method starts by the quantization... 6 KB (667 words) - 05:53, 1 April 2024 |
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... 10 KB (1,633 words) - 07:08, 15 April 2024 |
transform Laplace transform Inverse Laplace transform Two-sided Laplace transform Inverse two-sided Laplace transform Laplace–Carson transform Laplace–Stieltjes... 3 KB (267 words) - 11:15, 29 January 2024 |
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... 68 KB (10,510 words) - 14:49, 18 April 2024 |
the 2D planar Inverse ISAR transform include: Image blocking modeling errors: The Inverse ISAR transform currently assumes that scatterers are on a planar... 10 KB (1,291 words) - 17:38, 31 January 2024 |
one class of nonlinear inverse problems was so before 1970, that of inverse spectral and (one space dimension) inverse scattering problems, after the seminal... 65 KB (8,839 words) - 21:04, 27 March 2024 |
A Fast Fourier Transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis... 63 KB (7,343 words) - 11:41, 21 April 2024 |
the Kadomtsev–Petviashvili equation, it is integrable via the inverse scattering transform for the 2-dimensional stationary Schrödinger equation. Similarly... 9 KB (1,173 words) - 21:51, 1 February 2024 |
Interference (wave propagation) Interferometry Internal wave Inverse scattering transform Ion acoustic wave Irradiance Kelvin wave Kinematic wave Knife-edge... 10 KB (37 words) - 10:52, 7 November 2023 |
(black hole entropy), Vladimir A. Belinsky (BKL conjecture, inverse scattering transform solution generating methods), Peter G. Bergmann (constrained... 20 KB (1,810 words) - 08:46, 15 October 2023 |
therefore susceptible to solution by techniques resembling the inverse scattering transform which was originally developed to solve the Korteweg-de Vries... 25 KB (3,329 words) - 18:22, 21 April 2024 |
"The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons", The sine-Gordon Model and its Applications, vol. 10... 33 KB (4,704 words) - 11:43, 26 March 2024 |
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 =... 16 KB (2,729 words) - 13:14, 28 April 2024 |
The Belinski–Zakharov transform is a generalization of the inverse scattering transform. The solutions produced by this transform are called gravitational... 5 KB (902 words) - 16:38, 16 January 2024 |
theory, an axiomatic basis for part of non-standard analysis Inverse scattering transform, a method for solving some non-linear partial differential equations... 3 KB (334 words) - 11:36, 31 January 2024 |
Euler–Lagrange equation Nonlinear system Integrable system Inverse scattering transform Dispersive partial differential equation Logan, J. David (1994)... 9 KB (1,085 words) - 17:58, 3 November 2023 |