1,720,996 research outputs found
Hamiltonian motions of plane curves and formation of singularities and bubbles
No full textA class of Hamiltonian deformations of plane curves is defined and studied
Cohomological, Poisson structures and integrable hierarchies in tuatological subbundles of Birkhoff strata for Sato Grassmannian.
No full textCohomological and Poisson structures associated with special tautological subbundles for Birkhoff strata of Sato Grassmannian are studied
Coisotropic deformations of algebraic varieties and integrable systems
No full textCoisotropic deformations of algebraic varieties are defined as those for which an ideal of the deformed variety is a Poisson ideal. Several examples are considered and connection with various integrable systems is demonstrated
Birkhoff strata of Sato Grassmannian and algebraic curves
No full textAlgebraic and geometric structures associated with Birkhoff stara of Sato Grassmannian are analysed
Quasi-classical approximation in vortex filament dynamics. Integrable systems, gradient catastrophe and flutter.
No full textQuasiclassical approximation in the intrinsic description of the vortex filament dynamics is discussed
Algebraic varieties in the Birkhoff strata of the Grassmannian Gr^2: Harrison cohomology and integrable systems
No full textCohomology of the algebraic varieties arising in the Birkhoff strata of the Sato Grasmanian is studied. Connection with the integrable systems of hydrodynamical type is analyzed
Gradient catastrophe and flutter in vortex filament dynamics
No full textGradient catastrophe and flutter instability in the notion of a vortex filament within the localized induction approximation are analyzed
Elliptic Euler-Poisson-Darboux equation, critical points and integrable systems
No full textThe structure and properties of families of critical points for classes of functions obeying the elliptic Euler-Poisson-Darboux equation E(1/2,1/2) are studied
Birkhoff strata of the Grasmannian Gr^2:algebraic curves
No full textAlgebraic varieties and curves arizing in the Birkhoff strata of the Sato Grassmannian Gr^2 are studied
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