Transformations for hypersurfaces with vanishing Gauss-Kronecker curvature.
Transparent potentials and hamiltonian systems
Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.
Treibich-Verdier potentials and the stationary (m)KDV hierarchy.
Two point correlation functions for a periodic box-ball system.
Two remarks about the connection of Jacobi and Neumann integrable systems.
Two-field integrable evolutionary systems of the third order and their differential substitutions.
Type des points fixes des difféomorphismes symplectiques de
Tzitzeica-Bäcklund theorems.
Uniform exponential stability of linear almost periodic systems in Banach spaces.
Vacuum curves and classical integrable systems in discrete dimensions
Variational approach to dynamics of bright solitons in lossy optical fibers.
Variétés abéliennes réelles et toupie de Kowalevski
Variétés de drapeaux et réseaux de Toda.
Vecteurs propres de matrices de Jacobi
On montre que l’ensemble des matrices tridiagonales périodiques symétriques de spectre fixé possède une direction tangente privilégiée, construite à l’aide des vecteurs propres des matrices et de la jacobienne d’une courbe hyperelliptique. Il se trouve que cette direction est celle du célèbre flot de Toda périodique.
Ward's solitons.
Weak asymptotic method for the study of propagation and interaction of infinitely narrow -solitons.
Weakly nonlocal Hamiltonian structures: Lie derivative and compatibility.
Weierstrass elliptic solutions to a Zakharov equation in plasmas with power law nonlinearity
In this paper, travelling wave solutions for the Zakharov equation in plasmas with power law nonlinearity are studied by using the Weierstrass elliptic function method. As a result, some previously known solutions are recovered, and at the same time some new ones are also given.
Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain
We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show these systems are well-posed in the sense of Weiss and Salamon if and only if the state operator generates a C0-semigroup. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.