A new recursion operator generating the KP hierarchy is found. Much simpler than the one previously known, it possesses all the good canonical properties and generates the elementary Bäcklund transformation. This operator naturally suggests a canonical recursion operator in 3+1 dimensions generating a bihamiltonian hierarchy of nonlinear evolution equations, their Bäcklund transformation and nonlinear superposition principle.
On the recursion operator for the KP hierarchy in two and three spatial dimensions
BOITI, Marco;MARTINA, Luigi;PEMPINELLI, Flora
1987-01-01
Abstract
A new recursion operator generating the KP hierarchy is found. Much simpler than the one previously known, it possesses all the good canonical properties and generates the elementary Bäcklund transformation. This operator naturally suggests a canonical recursion operator in 3+1 dimensions generating a bihamiltonian hierarchy of nonlinear evolution equations, their Bäcklund transformation and nonlinear superposition principle.File in questo prodotto:
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