Two-phase periodic solutions to the AKNS hierarchy equations

DOI10.1007/s10958-019-04510-8zbMath1434.35186OpenAlexW2973046897WikidataQ127292488 ScholiaQ127292488MaRDI QIDQ2011315

Vladimir B. Matveev, Aleksandr Olegovich Smirnov

Publication date: 6 December 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04510-8

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) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions ⋮ Cauchy problem for the nonlinear Liouville equation in the class of periodic infinite-gap functions ⋮ Integration of the modified Korteweg-de Vries-Liouville equation in the class of periodic infinite-gap functions ⋮ Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: general analysis and simplest examples ⋮ Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy

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