Darboux transformation for classical acoustic spectral problem.
Decay for travelling waves in the Gross–Pitaevskii equation
Deformation from symmetry for Schrödinger equations of higher order on unbounded domains.
Determination of surfaces in three-dimensional Minkowski and Euclidean spaces based on solutions of the sinh-Laplace equation.
Dilogarithm identities for sine-Gordon and reduced sine-Gordon Y-systems.
Dispersion Phenomena in Dunkl-Schrödinger Equation and Applications
2000 Mathematics Subject Classification: 35Q55,42B10.In this paper, we study the Schrödinger equation associated with the Dunkl operators, we study the dispersive phenomena and we prove the Strichartz estimates for this equation. Some applications are discussed.
Dynamical instability of symmetric vortices.
Using the Maxwell-Higgs model, we prove that linearly unstable symmetric vortices in the Ginzburg-Landau theory are dynamically unstable in the H1 norm (which is the natural norm for the problem).In this work we study the dynamic instability of the radial solutions of the Ginzburg-Landau equations in R2 (...)
Dynamical properties for a relaxation scheme applied to a weakly damped non local nonlinear Schrödinger equation.
Dynamics of a Lotka-Volterra map
Given the plane triangle with vertices (0,0), (0,4) and (4,0) and the transformation F: (x,y) ↦ (x(4-x-y),xy) introduced by A. N. Sharkovskiĭ, we prove the existence of the following objects: a unique invariant curve of spiral type, a periodic trajectory of period 4 (given explicitly) and a periodic trajectory of period 5 (described approximately). Also, we give a decomposition of the triangle which helps to understand the global dynamics of this discrete system which is linked with the behavior...