Darboux transformation to the nonlocal complex short pulse equation

DOI10.1016/j.aml.2021.107809zbMath1484.35013OpenAlexW3216577795MaRDI QIDQ2077056

Jian Li, Tie-cheng Xia

Publication date: 22 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107809

zbMATH Keywords

Darboux transformationrogue waveperiodic wavenonlocal complex short pulse equationparity and time symmetries

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for nonlinear higher-order PDEs (35G25) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

Inverse scattering transforms for the nonlocal Hirota–Maxwell–Bloch system ⋮ Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation ⋮ Time-fractional Davey–Stewartson equation: Lie point symmetries, similarity reductions, conservation laws and traveling wave solutions ⋮ Darboux transformation and exact solution to the nonlocal Kundu-Eckhaus equation

Cites Work

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• Integrable Nonlocal Nonlinear Equations
• A coupled focusing-defocusing complex short pulse equation: Multisoliton, breather, and rogue wave
• High‐Order Soliton Solution of Landau–Lifshitz Equation
• Darboux transformations and solutions of nonlocal Hirota and Maxwell–Bloch equations
• General soliton solutions to a reverse‐time nonlocal nonlinear Schrödinger equation

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