Painlevé analysis and similarity reductions for the magma equation.
Painlevé property of a degenerate Garnier system of (9/2)-type and of a certain fourth order non-linear ordinary differential equation
Periodic and solitary wave solutions of two component Zakharov-Yajima-Oikawa system, using Madelung's approach.
Perturbations of Systems Describing the Motion of a Particle in Central Fields
The present paper deals with the KAM-theory conditions for systems describing the motion of a particle in central field.
Perturbations of the harmonic map equation
We consider perturbations of the harmonic map equation in the case where the source and target manifolds are closed riemannian manifolds and the latter is in addition of nonpositive sectional curvature. For any semilinear and, under some extra conditions, quasilinear perturbation, the space of classical solutions within a homotopy class is proved to be compact. For generic perturbations the set of solutions is finite and we present a count of this set. An important ingredient for our analysis is...
Phase transition in dynamical systems: defining classes of universality for two-dimensional Hamiltonian mappings via critical exponents.
Poisson-Nijenhuis structures
Projective structure and integrable geodesic flows on the extension of Bott-Virasoro group.
Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
In this paper we describe moving frames and differential invariants for curves in two different -graded parabolic manifolds , and , and we define differential invariants of projective-type. We then show that, in the first case, there are geometric flows in inducing equations of KdV-type in the projective-type differential invariants when proper initial conditions are chosen. We also show that geometric Poisson brackets in the space of differential invariants of curves in can be reduced...
Prolongation loop algebras for a solitonic system of equations.
Prym-Tjurin varieties and the Hitchin map.