Dif f + (S 1 )−PSEUDO-DIFFERENTIAL OPERATORS AND THE KADOMTSEV-PETVIASHVILI HIERARCHY
magnot, jean-pierre ; Reyes, Enrique,
HAL, hal-01857150 / Harvested from HAL
Text on HAL
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.
Publié le : 2018-08-14
Classification:  Kadomtsev-Petviashvili hierarchy,  Birkhoff-Mulase factorization,  infinite jets,  Fourier-integral operators,  odd class pseudo-differential operators,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],  [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI],  [NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 
@article{hal-01857150,
     author = {magnot, jean-pierre and Reyes, Enrique, },
     title = {Dif f + (S 1 )-PSEUDO-DIFFERENTIAL OPERATORS AND THE KADOMTSEV-PETVIASHVILI HIERARCHY},
     journal = {HAL},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01857150}
}

magnot, jean-pierre; Reyes, Enrique, . Dif f + (S 1 )−PSEUDO-DIFFERENTIAL OPERATORS AND THE KADOMTSEV-PETVIASHVILI HIERARCHY. HAL, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/hal-01857150/