A generalized AKNS hierarchy, bi-Hamiltonian structure, and Darboux transformation
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Publication:434747
DOI10.1016/j.cnsns.2011.10.010zbMath1276.37045OpenAlexW1996767646MaRDI QIDQ434747
Publication date: 16 July 2012
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.10.010
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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A soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi-Hamiltonian structure ⋮ Rogue waves and rational solutions of a \((3+1)\)-dimensional nonlinear evolution equation ⋮ Nonautonomous dynamics of local and nonlocal Fokas–Lenells models ⋮ Explicit solutions and Darboux transformations of a generalized D-Kaup-Newell hierarchy ⋮ An integrable four-component Camassa–Holm-type system ⋮ On \(N\)th-order rogue wave solution to the generalized nonlinear Schrödinger equation ⋮ Rogue wave solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics
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