Generalized KP hierarchy: Möbius symmetry, symmetry constraints and Calogero-Moser system
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Publication:5940200
DOI10.1016/S0167-2789(01)00161-0zbMath0988.37085MaRDI QIDQ5940200
L. V. Bogdanov, B. G. Konopelchenko
Publication date: 14 July 2002
Published in: Physica D (Search for Journal in Brave)
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Related Items (4)
Hirota difference equation and a commutator identity on an associative algebra ⋮ Symmetries of the Hirota difference equation ⋮ Hirota difference equation and Darboux system: mutual symmetry ⋮ Hirota difference equation: inverse scattering transform, Darboux transformation, and solitons
Cites Work
- Generalized Hirota bilinear identity and integrable \(q\)-difference and lattice hierarchies
- Loop groups and equations of KdV type
- Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line
- Additional symmetries for integrable equations and conformal algebra representation
- Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- The AKNS hierarchy as symmetry constraint of the KP hierarchy
- Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras
- New reductions of the Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies via symmetry constraints
- Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy
- Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies
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