# INSTITUT DE MATHEMATIQUES DE BOURGOGNE

UMR 5584

## Prépublications

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Recherche effectuée avec les critères suivants :
Identifiant HAL de l’IMB = 50
Date de dépôt = 2016

## Articles syndiqués

• ### [hal-01321436] Patterns of deformations of Peregrine breather of order 3 and 4 solutions to the NLS equation with multi parameters

24 août, par Pierre Gaillard, Mickaël Gastineau
In this article, one gives a classification of the solutions to the one dimensional nonlinear focusing Schrödinger equation (NLS) by considering the modulus of the solutions in the (x, t) plan in the cases of orders 3 and 4. For this, we use a representation of solutions to NLS equation as a (...)
• ### [hal-01307088] A functorial extension of the Magnus representation to the category of three-dimensional cobordisms

25 juillet, par Vincent Florens, Gwenael Massuyeau, Juan Serrano de Rodrigo
Let $R$ be an integral domain and $G$ be a subgroup of its group of units. We consider the category $\mathbf\mathsfCob_G$ of 3-dimensional cobordisms between oriented surfaces with connected boundary, equipped with a representation of their fundamental group in $G$. Under some mild conditions (...)