A Simple Construction of Recursion Operators for Multidimensional Dispersionless Integrable Systems
Abstract
We present a simple novel construction of recursion operators for integrable multidimensional dispersionless systems that admit a Lax pair whose operators are linear in the spectral parameter and do not involve the derivatives with respect to the latter. New examples of recursion operators obtained using our technique include {\em inter alia} those for the general heavenly equation, which describes a class of antiselfdual solutions of the vacuum Einstein equations, and a sixdimensional equation resulting from a system of Ferapontov and Khusnutdinova.
 Publication:

arXiv eprints
 Pub Date:
 January 2015
 arXiv:
 arXiv:1501.01955
 Bibcode:
 2015arXiv150101955S
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 14 p., no figures, significant revision