New integrable differential-difference and fractional nonlinear dynamical systems and their algebro-analytical properties
DOI10.1016/j.cnsns.2018.04.025OpenAlexW2802273658MaRDI QIDQ2207981
Publication date: 23 October 2020
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.2018.04.025
Lie-Poisson structureCasimir functionalsAdler-Kostant-Symes approachdiscrete Korteweg de-Vries type equationsdiscrete nonlinear Schrödinger type equationsfractional pseudo-difference operator algebrapseudo-difference operator algebraquasi-derivationshift-operator algebra
Nonlinear ordinary differential equations and systems (34A34) Invariance and symmetry properties for PDEs on manifolds (58J70) Initial value problems for nonlinear higher-order PDEs (35G25) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Overdetermined systems of PDEs with variable coefficients (35N10) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
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