Fast-decaying potentials on the finite-gap background and the \(\overline {\partial}\)-problem on the Riemann surfaces
DOI10.1007/BF01016145zbMath0850.35081OpenAlexW2005035539MaRDI QIDQ1918826
Publication date: 18 November 1996
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01016145
Schrödinger operatorscattering data\(\overline\partial\)-problem data on the Riemann surfacedirect and inverse scattering problemsheat-conductivity operator
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Cites Work
- Asymptotics for \(t\to \infty\) of the solution to the Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behavior as \(x\to \pm \infty\)
- The Riemann boundary value problem on closed Riemann surfaces and integrable systems
- Nonsingular finite-zone two-dimensional Schrödinger operators and Prymians of real curves
- Analogs of multisoliton potentials for the two-dimensional Schrödinger operator
- Two-dimensional ``inverse scattering problem for negative energies and generalized-analytic functions. I: Energies below the ground state
- Potentials with zero coefficient of reflection on a background of finite- zone potentials
- Inverse scattering problem for the two-dimensional Schrödinger operator, the \({\bar\partial}\)-method and nonlinear equations
- Spectral theory of two-dimensional periodic operators and its applications
This page was built for publication: Fast-decaying potentials on the finite-gap background and the \(\overline {\partial}\)-problem on the Riemann surfaces
