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

Journal Article · Fri May 01 00:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527563· OSTI ID:6919885

Chau, L; Yen, H C

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), Vol. 28:5
• Country of Publication: United States
• Language: English

Related Subjects

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