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Soliton scattering in the Darboux transformation formalism

Journal Article · · J. Sov. Math.; (United States)
OSTI ID:5774714
;
The Darboux transformation technique is applied to derive soliton scattering formulas for the Kadomtsev-Petviashvili equation, the KdV equation, the nonlocal KdV equation, the two-dimensionalized Toda chain and its periodic reductions, in particular the sine-Gordon equation.
OSTI ID:
5774714
Journal Information:
J. Sov. Math.; (United States), Journal Name: J. Sov. Math.; (United States) Vol. 37:4; 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