Symmetry, Conserved Charges, and Lax Representations of Nonlinear Field Equations: A Unified Approach

Details Symmetry, Conserved Charges, and Lax Representations of Nonlinear Field Equations: A Unified Approach Symmetry, Conserved Charges, and Lax Representations of Nonlinear Field Equations: A Unified Approach

2010-01-06

arxiv.org/abs/1001.0872v1

Physics

Mathematical Physics

15 pages

Scientific paper

A certain non-Noetherian connection between symmetry and integrability properties of nonlinear field equations in conservation-law form is studied. It is shown that the symmetry condition alone may lead, in a rather straightforward way, to the construction of a Lax pair, a doubly infinite set of (generally nonlocal) conservation laws, and a recursion operator for symmetries. Applications include the chiral field equation and the self-dual Yang-Mills equation.

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