Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: general analysis and simplest examples
DOI10.1134/S0040577920090056zbMath1453.81017OpenAlexW3087913222MaRDI QIDQ2215157
Aleksandr Olegovich Smirnov, Vladimir B. Matveev
Publication date: 11 December 2020
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577920090056
nonlinear Schrödinger equationAKNS hierarchymodified Korteweg-de Vries equationnonlocal model\( \mathcal{PT}\) symmetry
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) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
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