Solving the AKNS Hierarchy by Its Bilinear Form: Generalized Double Wronskian Solutions

DOI10.1088/0253-6102/49/2/33zbMath1392.37060OpenAlexW2085252805MaRDI QIDQ4577312

Ye-Peng Sun, Fu-Mei Yin, Fuqing Cai, Deng-Yuan Chen

Publication date: 3 August 2018

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/49/2/33

zbMATH Keywords

AKNS hierarchyWronskian techniquedouble Wronsikian solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (6)

Generalized matrix exponential solutions to the AKNS hierarchy ⋮ Fractional isospectral and non-isospectral AKNS hierarchies and their analytic methods for \(N\)-fractal solutions with Mittag-Leffler functions ⋮ Solutions of the nonlocal nonlinear Schrödinger hierarchy via reduction ⋮ Solutions to integrable space-time shifted nonlocal equations ⋮ On \((2+1)\)-dimensional mixed AKNS hierarchy ⋮ Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations

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