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One gauge‐invariant system for two‐dimensional relativistic fields: Global solutions, integrability
Author(s) -
Łada Andrzej
Publication year - 1993
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670160204
Subject(s) - integrable system , mathematics , invariant (physics) , gauge (firearms) , mathematical physics , cauchy problem , gauge theory , mathematical analysis , initial value problem , archaeology , history
The system originating from the theory of two‐dimensional hyperbolic chiral fields and the theory of self‐dual Yang‐Mills fields over ℝ 2 + 2 is studied. The existence of global solutions for the Cauchy problem is established. It is observed that the system is completely integrable and one method of construction of a new solution is presented.
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