On the constrained discrete mKP hierarchies: gauge transformations and the generalized Wronskian solutions

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

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Solitons and infinite dimensional Lie algebras
Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation
The determinant representation of the gauge transformation for the discrete KP hierarchy
Solving the KP hierarchy by gauge transformations
Modified KP and discrete KP
Constrained KP hierarchy and bi-Hamiltonian structures
On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries
\(q\)-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformations
Several integrable properties of the discrete KP hierarchy obtained by means of gauge transformations
General rogue wave solution to the discrete nonlinear Schrödinger equation
Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases
The gauge transformations of the constrained \(q\)-deformed modified KP hierarchy and their relations with the additional symmetries
Rational Ruijsenaars-Schneider hierarchy and bispectral difference operators
Gauge transformations of constrained discrete modified KP systems with self-consistent sources
Theq-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons
Degeneration of trigonal curves and solutions of the KP-hierarchy
A generalized dressing approach for solving the extended KP and the extended mKP hierarchy
GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
Solving the constrained KP hierarchy by gauge transformations
Darboux transformations via Painlevé analysis
KP constraints from reduced multi-component hierarchies
Squared eigenfunction symmetry of the DmKP hierarchy and its constraint
Wronskian solutions of the constrained Kadomtsev–Petviashvili hierarchy
On the discrete modified KP hierarchies: the Wronskian solutions for their constrained cases

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