Dif f + (S 1 )−PSEUDO-DIFFERENTIAL OPERATORS AND THE KADOMTSEV-PETVIASHVILI HIERARCHY

Jean-Pierre Magnot (1) , Enrique G Reyes

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

We establish a non-formal link between the structure of the group of Fourier integral operators Cl 0, * odd (S 1 , V)Dif f + (S 1) and the solutions of the Kadomtsev-Petviashvili hierarchy, using infinite-dimensional groups of series of non-formal pseudo-differential operators.

Mots clés: Kadomtsev-Petviashvili hierarchy; Birkhoff-Mulase factorization; infinite jets; Fourier-integral operators; odd class pseudo-differential operators

Domaines: Géométrie différentielle [math.DG]; Physique mathématique [math-ph]; Algèbres d'opérateurs [math.OA]; Equations aux dérivées partielles [math.AP]; Systèmes Solubles et Intégrables [nlin.SI]; Formation de Structures et Solitons [nlin.PS]; Physique mathématique [math-ph]

Jean-Pierre Magnot, Enrique G Reyes. Dif f + (S 1 )−PSEUDO-DIFFERENTIAL OPERATORS AND THE KADOMTSEV-PETVIASHVILI HIERARCHY. 2018. ⟨hal-01857150v1⟩