Families of solutions to the KPI equation given by an extended Darboux transformation

DOI10.1007/S42985-022-00212-0zbMath1504.35138OpenAlexW4309650905MaRDI QIDQ2108996

Yanyan Li

Publication date: 20 December 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-022-00212-0

zbMATH Keywords

rational solutionsDarboux transformationWronskiansKadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

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• Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
• Multiparametric families of solutions of the Kadomtsev-Petviashvili-I equation, the structure of their rational representations, and multi-rogue waves
• Degenerate Riemann theta functions, Fredholm and Wronskian representations of the solutions to the KdV equation and the degenerate rational case
• On the evolution of packets of water waves
• Fredholm and Wronskian representations of solutions to the KPI equation and multi-rogue waves
• The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form
• Two-dimensional lumps in nonlinear dispersive systems

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