2 + 1 Toda chain. I. Inverse scattering method
Journal Article
·
· Theor. Math. Phys.; (United States)
A formal scheme of the inverse scattering method is constructed for the2 + 1 Toda chain in the class of rapidly decreasing Cauchy data. Application of the inverse scattering method to the two-dimensional infinite Toda chain was made difficult by the circumstance that this system is a (2 + 1)-dimensional object, i.e., possesses time and two spatial variables, the role of one of these being played by the chain site number. Because of this, our information about the 2 + 1 Toda chain was limited to a rich set of particular solutions of soliton type obtained in the cycle of studies by the Darboux transformation method.
- Research Organization:
- Leningrad State Univ. (USSR)
- OSTI ID:
- 6320170
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 75:3; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CAUCHY PROBLEM
DISPERSION RELATIONS
EQUATIONS
FINITE DIFFERENCE METHOD
FUNCTIONS
GREEN FUNCTION
INTEGRAL EQUATIONS
INTEGRAL TRANSFORMATIONS
INVERSE SCATTERING PROBLEM
ITERATIVE METHODS
JOST FUNCTION
MATHEMATICAL SPACE
NUMERICAL SOLUTION
QUASI PARTICLES
RIEMANN SPACE
SOLITONS
SPACE
SPECTRA
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CAUCHY PROBLEM
DISPERSION RELATIONS
EQUATIONS
FINITE DIFFERENCE METHOD
FUNCTIONS
GREEN FUNCTION
INTEGRAL EQUATIONS
INTEGRAL TRANSFORMATIONS
INVERSE SCATTERING PROBLEM
ITERATIVE METHODS
JOST FUNCTION
MATHEMATICAL SPACE
NUMERICAL SOLUTION
QUASI PARTICLES
RIEMANN SPACE
SOLITONS
SPACE
SPECTRA
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS