Hamiltonian Perturbations of Hyperbolic PDEs: from Classification Results to the Properties of Solutions
From MaRDI portal
Publication:3644133
DOI10.1007/978-90-481-2810-5_18zbMath1207.35032OpenAlexW1750702576MaRDI QIDQ3644133
Publication date: 2 November 2009
Published in: New Trends in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-90-481-2810-5_18
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Singular perturbations in context of PDEs (35B25) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)
Related Items
The matrix-resolvent method to tau-functions for the nonlinear Schrödinger hierarchy ⋮ Generating series for GUE correlators ⋮ Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation ⋮ GUE via Frobenius manifolds. I: From matrix gravity to topological gravity and back ⋮ From wave functions to tau-functions for the Volterra lattice hierarchy ⋮ On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket ⋮ Hamiltonian perturbations at the second-order approximation ⋮ Hodge-GUE correspondence and the discrete KdV equation ⋮ The differential geometry of the orbit space of extended affine Jacobi group \(A_1\) ⋮ Explicit examples of Hurwitz Frobenius manifolds in genus one ⋮ Matrix resolvent and the discrete KdV hierarchy ⋮ On equivariant Gromov-Witten invariants of resolved conifold with diagonal and anti-diagonal actions ⋮ Grothendieck’s dessins d’enfants in a web of dualities. III