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Scattering of solitons in the formalism of the Darboux transform

Journal Article · · J. Sov. Math.; (United States)
DOI:https://doi.org/10.1007/BF01095106· OSTI ID:5774673
;
By means of the technique of Darboux transformations formulas are obtained which describe the scattering of solitons in the Kadomtsev-Petviashvili equations; the KdV equation, the nonlocal KdV equation, the two-dimensionalized Toda lattice and its periodic reductions, and, in particular, the sine-Gordon equation.
OSTI ID:
5774673
Journal Information:
J. Sov. Math.; (United States), Journal Name: J. Sov. Math.; (United States) Vol. 34:5; ISSN JSOMA
Country of Publication:
United States
Language:
English

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Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL MANIFOLDS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
QUANTUM FIELD THEORY
QUASI PARTICLES
SCATTERING
SCATTERING AMPLITUDES
SINE-GORDON EQUATION
SOLITONS
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS