Discrete rogue waves and blow-up from solitons of a nonisospectral semi-discrete nonlinear Schrödinger equation

DOI10.1016/j.aml.2021.107049zbMath1462.39004arXiv2011.03285OpenAlexW3121983327MaRDI QIDQ2021495

Abdselam Silem, Hua Wu, Da-jun Zhang

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.03285

zbMATH Keywords

blow-upbilinear formrogue wavedouble Casoratiannonisospectral semi-discrete nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (6)

Nonisospectral effects on generating localized waves ⋮ On convexity analysis for discrete delta Riemann-Liouville fractional differences analytically and numerically ⋮ Bivariate discrete Mittag-Leffler functions with associated discrete fractional operators ⋮ Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types ⋮ On \((2+1)\)-dimensional mixed AKNS hierarchy ⋮ Exact solutions for a variable-coefficients nonisospectral nonlinear Schrödinger equation via Wronskian technique

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