Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach

DOI10.1016/j.jmaa.2015.04.084zbMath1371.37121arXiv1403.7127OpenAlexW2963228079MaRDI QIDQ2348416

Jan L. Cieśliński, Anatoliy K. Prykarpatsky

Publication date: 12 June 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7127

zbMATH Keywords

symplectic reductionLax representationdiscretization schemegradient-holonomic algorithm

Mathematics Subject Classification ID

Related Items (5)

New integrable differential-difference and fractional nonlinear dynamical systems and their algebro-analytical properties ⋮ On completely integrable Calogero-type discretizations of nonlinear Lax integrable dynamical systems and related Markov-type coadjoint orbits ⋮ Integrable discretization and numerical simulations of the generalized coupled integrable dispersionless equations ⋮ Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators ⋮ Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation

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