Closed form Solutions to the Integrable Discrete Nonlinear Schrödinger Equation

DOI10.1142/S1402925112500106zbMath1245.35117OpenAlexW2160865079MaRDI QIDQ2905314

Francesco Demontis, Cornelis V. M. van der Mee

Publication date: 27 August 2012

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925112500106

zbMATH Keywords

exact solutionsAblowitz-Ladik modelintegrable discrete nonlinear Schrödinger equationMarchenko method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (6)

An alternative approach to integrable discrete nonlinear Schrödinger equations ⋮ The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. I: Direct and inverse scattering theory ⋮ The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. II: IST and closed-form soliton solutions ⋮ Effective generation of closed-form soliton solutions of the continuous classical Heisenberg ferromagnet equation ⋮ Inverse Scattering Transform for the Discrete Focusing Nonlinear Schrödinger Equation with Nonvanishing Boundary Conditions ⋮ Exact solutions of the Hirota equation and vortex filaments motion

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