Binary Darboux transformations for constrained KP hierarchies
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Publication:4346396
DOI10.1088/0266-5611/13/3/019zbMath0878.35103OpenAlexW2081766000MaRDI QIDQ4346396
Claire R. Gilson, Ignace Loris, Ralph Willox
Publication date: 3 August 1997
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/13/3/019
Darboux transformationsconstrained KP hierarchiesbinary Darboux transformationsWronskian and Grammian solutions
KdV equations (Korteweg-de Vries equations) (35Q53) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Related Items (13)
Solving the constrained modified KP hierarchy by gauge transformations ⋮ Darboux transformations of new supersymmetric CKP and BKP hierarchies ⋮ Gauge transformations of constrained discrete modified KP systems with self-consistent sources ⋮ Gauge transformations for the constrained CKP and BKP hierarchies ⋮ Obtaining multisoliton solutions of the \((2+1)\)-dimensional Camassa-Holm system using Darboux transformations ⋮ A new bidirectional generalization of (2+1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy ⋮ The applications of the gauge transformation for the BKP hierarchy ⋮ Solutions of the (2 + 1)-Dimensional KP, SK and KK Equations Generated by Gauge Transformations from Nonzero Seeds ⋮ The gauge transformation of the q-deformed modified KP hierarchy ⋮ The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ The gauge transformation of the modified KP hierarchy ⋮ KP constraints from reduced multi-component hierarchies ⋮ Additional reductions in the \(k\)-constrained modified KP hierarchy
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