Gauge transformations of two-component KP and mKP hierarchies

DOI10.1016/j.aml.2022.108353zbMath1505.37081OpenAlexW4288060977MaRDI QIDQ2171166

Yanyan Li

Publication date: 23 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108353

zbMATH Keywords

gauge transformationtwo-component KP hierarchytwo-component mKP hierarchy

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Pseudodifferential operators (47G30) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

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• GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
• Backlund transformations via gauge transformations in 2+1 dimensions
• k-constraint for the modified Kadomtsev–Petviashvili system
• Two choices of the gauge transformation for the AKNS hierarchy through the constrained KP hierarchy
• Solutions of the Frobenius Coupled KP Equation
• The gauge transformation of the modified KP hierarchy

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