Bounded solutions of KdV and non-periodic one-gap potentials in quantum mechanics

DOI10.1007/s11005-016-0838-6zbMath1382.37071OpenAlexW2340931231MaRDI QIDQ295861

Sergey A. Dyachenko, Dmitry V. Zakharov, Vladimir E. Zakharov

Publication date: 14 June 2016

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-016-0838-6

zbMATH Keywords

Schrödinger operatorintegrable systemssoliton solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Exactly and quasi-solvable systems arising in quantum theory (81U15) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Soliton solutions (35C08)

Related Items

Solutions to the Kaup-Broer system and its \((2+1)\) dimensional integrable generalization via the dressing method, On solutions to the nonlocal \(\overline{\partial}\)-problem and (2+1) dimensional completely integrable systems, Non-periodic One-gap Potentials in Quantum Mechanics, Critical density of a soliton gas, Primitive solutions of the Korteweg-de Vries equation, KdV equation beyond standard assumptions on initial data, On the trace-class property of Hankel operators arising in the theory of the Korteweg-de Vries equation, Generalized primitive potentials, A new approach for numerical solution of modified Korteweg-de Vries equation, Algebro-geometric finite gap solutions to the Korteweg-de Vries equation as primitive solutions

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