Nonlocal reductions of the Ablowitz-Ladik equation

DOI10.1134/S0040577918100021zbMath1405.37076arXiv1711.08419OpenAlexW3099320372WikidataQ128974082 ScholiaQ128974082MaRDI QIDQ1716177

Erdal Karapınar

Publication date: 4 February 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08419

zbMATH Keywords

Riemann-Hilbert problemsolitonintegrable systemPT symmetrynonlocal reduction

Mathematics Subject Classification ID

Related Items (8)

Solitons, breathers and rogue waves in the coupled nonlocal reverse-time nonlinear Schrödinger equations ⋮ Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions ⋮ Bright soliton solutions to a nonlocal nonlinear Schrödinger equation of reverse-time type ⋮ Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons ⋮ Multi-place physics and multi-place nonlocal systems ⋮ Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction ⋮ Broken and unbroken \(\mathcal{PT}\)-symmetric solutions of semi-discrete nonlocal nonlinear Schrödinger equation ⋮ Grassmannian flows and applications to non-commutative non-local and local integrable systems

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