Published November 26, 2014 | Version v1
Journal article

On discrete and continuous nonlinear Fourier transforms

  • 1. Institute of Mathematics, Physics and Mechanics, Ljubljana (Slovenia)
  • 2. Faculty of Mathematics and Physics, University of Ljubljana (Slovenia)

Description

We study a discretization DF of the nonlinear Fourier transform F associated with the integrable partial differential equations of AKNS-ZS type. We construct an iterative procedure by means of which we can calculate the inverse transform DF(h) for an arbitrary small enough argument h to any desired accuracy. The construction of this procedure is based on the analogous construction for the continuous transform F

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/563/1/012025

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
563
Journal Issue
1
Journal Page Range
[13 p.]
ISSN
1742-6596

Conference

Title
22. International Conference on Integrable Systems and Quantum Symmetries
Acronym
ISQS-22
Dates
23-29 Jun 2014
Place
Prague (Czech Republic)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
47025510
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ACCURACY; FOURIER TRANSFORMATION; INTEGRAL CALCULUS; ITERATIVE METHODS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; INTEGRAL TRANSFORMATIONS; MATHEMATICS; TRANSFORMATIONS