Inverse scattering for reflectionless Schr\"odinger operators with integrable potentials and generalized soliton solutions for the KdV equation

DOI10.1007/s00023-020-01000-5arXiv2006.12782MaRDI QIDQ6343526

Yaroslav Volodymyrovych Mykytyuk, Rostyslav O. Hryniv, Bohdan Melnyk

Publication date: 23 June 2020

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) 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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Scattering theory of linear operators (47A40) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Lattice dynamics; integrable lattice equations (37K60) Soliton solutions (35C08)

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