Symmetry, Conserved Charges, and Lax Representations of Nonlinear Field Equations: A Unified Approach - Mathematical PhysicsReport as inadecuate




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Abstract: A certain non-Noetherian connection between symmetry and integrabilityproperties of nonlinear field equations in conservation-law form is studied. Itis shown that the symmetry condition alone may lead, in a ratherstraightforward way, to the construction of a Lax pair, a doubly infinite setof generally nonlocal conservation laws, and a recursion operator forsymmetries. Applications include the chiral field equation and the self-dualYang-Mills equation.



Author: C. J. Papachristou

Source: https://arxiv.org/



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