Intrinsic Formulation of Geometric Integrability and Generation of Conservation Laws
Paul Bracken
TL;DR
This paper introduces an intrinsic geometric formulation of integrability for classical Bäcklund theorems, providing a method to generate infinite conservation laws through linearization of a Riccati system.
Contribution
It presents an intrinsic geometric approach to integrability and conservation law generation, extending classical Bäcklund theorem insights.
Findings
Intrinsic formulation characterized by a Riccati system
Linearization method for the Riccati system
Procedure for generating infinite conservation laws
Abstract
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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