Intrinsic Formulation of Geometric Integrability and Generation of Conservation Laws

Details Intrinsic Formulation of Geometric Integrability and Generation of Conservation Laws Intrinsic Formulation of Geometric Integrability and Generation of Conservation Laws

2007-12-11

arxiv.org/abs/0712.1807v2

Int.J.Geom.Meth.Mod.Phys.6:825-837,2009

Physics

Mathematical Physics

Scientific paper

10.1142/S0219887809003771

An intrinsic version of the integrability theorem for the classical Backlund
theorem is presented. It is characterized by a one-form which can be put in the
form of a Riccati system. It is shown how this system can be linearized. Based
on this, a procedure for generating an infinite number of conservation laws is
given.

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