Inverse scattering for reflectionless Schrödinger operators with integrable potentials and generalized soliton solutions for the KdV equation
DOI10.1007/s00023-020-01000-5OpenAlexW3118776131MaRDI QIDQ2223558
Bohdan Melnyk, Yaroslav Volodymyrovych Mykytyuk, Rostyslav O. Hryniv
Publication date: 29 January 2021
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.12782
Schrödinger operatorsKorteweg-de Vries equationinverse scatteringreflectionless potentialsgeneralized solitons
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)
Related Items (1)
Cites Work
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