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Generalized Riccati equations for self-dual Yang--Mills fields

Journal Article · · J. Math. Phys. (N.Y.); (United States)
DOI:https://doi.org/10.1063/1.527563· OSTI ID:6919885
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It is shown that although no Riccati equations in the strict sense are likely to exist for the self-dual Yang--Mills fields, certain ''generalized Riccati equations'' derivable from the Baecklund transformation do exist, and are capable of reproducing the linear system when a certain contraint is imposed.
Research Organization:
Physics Department, Brookhaven National Laboratory, Upton, New York 11973
OSTI ID:
6919885
Journal Information:
J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:5; ISSN JMAPA
Country of Publication:
United States
Language:
English

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Related Subjects

645400 -- High Energy Physics-- Field Theory
657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BAECKLUND TRANSFORMATION
BNL
CHIRAL SYMMETRY
CONSERVATION LAWS
CONSTRAINTS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
MATHEMATICAL OPERATORS
NATIONAL ORGANIZATIONS
NONLINEAR PROBLEMS
RICCATI EQUATION
SYMMETRY
TRANSFORMATIONS
US AEC
US DOE
US ERDA
US ORGANIZATIONS
YANG-MILLS THEORY