Majorations affines du nombre de zéros d'intégrales abéliennes pour les hamiltoniens quartiques elliptiques
Manin matrices, quantum elliptic commutative families and characteristic polynomial of elliptic Gaudin model.
Mechanical analogy for the wave-particle: Helix on a vortex filament.
Minimal surfaces via loop groups.
Minimal tori in S4.
Minimizers of Dirichlet functionals on the -torus and the weak KAM theory
Modèles locaux de structures de Poisson singulières en dimension 3
Models for quadratic algebras associated with second order superintegrable systems in 2D.
Modulation of the Camassa-Holm equation and reciprocal transformations
We derive the modulation equations (Whitham equations) for the Camassa-Holm (CH) equation. We show that the modulation equations are hyperbolic and admit a bi-Hamiltonian structure. Furthermore they are connected by a reciprocal transformation to the modulation equations of the first negative flow of the Korteweg de Vries (KdV) equation. The reciprocal transformation is generated by the Casimir of the second Poisson bracket of the KdV averaged flow. We show that the geometry...
Monopoles and modifications of bundles over elliptic curves.
Moving frames, Geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors
In this paper we describe a non-local moving frame along a curve of pure spinors in , and its associated basis of differential invariants. We show that the space of differential invariants of Schwarzian-type define a Poisson submanifold of the spinor Geometric Poisson brackets. The resulting restriction is given by a decoupled system of KdV Poisson structures. We define a generalization of the Schwarzian-KdV evolution for pure spinor curves and we prove that it induces a decoupled system of KdV...
Multi solitary waves for nonlinear Schrödinger equations
Multicomponent Burgers and KP hierarchies, and solutions from a matrix linear system.
Multi-component NLS models on symmetric spaces: spectral properties versus representations theory.
Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation.