Generalized primitive potentials

DOI10.1134/S1064562420020258zbMath1479.35755arXiv1907.05038OpenAlexW3043735389MaRDI QIDQ2243718

Dmitry V. Zakharov, Vladimir E. Zakharov

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05038

zbMATH Keywords

integrable systemsSchrödinger equationprimitive potentials

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) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

• Unnamed Item
• Bounded solutions of KdV and non-periodic one-gap potentials in quantum mechanics
• Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent
• Construction of higher-dimensional nonlinear integrable systems and of their solutions
• Primitive potentials and bounded solutions of the KdV equation
• Primitive solutions of the Korteweg-de Vries equation
• Inverse scattering on the line
• Non-periodic One-gap Potentials in Quantum Mechanics
• On symmetric primitive potentials

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