\(N\)-fold binary Darboux transformation for the \(n\)th-order Ablowitz-Kaup-Newell-Segur system under a pseudo-symmetry hypothesis

DOI10.1016/J.AML.2021.107719zbMath1479.35024OpenAlexW3205917341MaRDI QIDQ2060806

Bo Ruan, Jing-Jing Su

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107719

zbMATH Keywords

analytical solutionsnonlinear evolution equationsAKNS systembinary Darboux transformation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Cites Work

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• Bright and dark soliton solutions to the AB system and its multi-component generalization
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Darboux transformation and multi-dark soliton forN-component nonlinear Schrödinger equations
• An example of soliton behaviour in a rotating baroclinic fluid
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Absolute instability of the Ekman layer and related rotating flows
• A coupled “AB” system: Rogue waves and modulation instabilities
• Inverse scattering transform for the focusing nonlinear Schrödinger equation with counterpropagating flows
• Integrals of nonlinear equations of evolution and solitary waves

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