On the Miura Map between the dispersionless KP and dispersionless modified KP hierarchies
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Publication:2738120
DOI10.1063/1.533416zbMath0968.37022arXivsolv-int/9912016OpenAlexW1989695833MaRDI QIDQ2738120
Publication date: 30 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/solv-int/9912016
Miura mapbi-Hamiltonian structurestwistor constructiondispersionless KPdispersionless modified KP hierarchies
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Related Items (12)
Integrability properties of the dispersionless Kadomtsev-Petviashvili hierarchy ⋮ Miura maps for Stäckel systems ⋮ Virasoro symmetries of the constrained dispersionless mKP hierarchy ⋮ A new extended dispersionless mKP hierarchy and hodograph solution ⋮ Additional symmetries and Bäcklund transformations for the dispersionless Harry Dym hierarchy ⋮ Poisson algebras associated with constrained dispersionless modified Kadomtsev–Petviashvili hierarchies ⋮ Cartan's structure theory of symmetry pseudo-groups, coverings and multi-valued solutions for the Khokhlov-Zabolotskaya equation ⋮ On the dispersionless Dym hierarchy of hydrodynamic type: two approaches ⋮ Transformations of integrable hydrodynamic chains and their hydrodynamic reductions ⋮ Coisotropic deformations of associative algebras and dispersionless integrable hierarchies ⋮ Cartan's structure of symmetry pseudo-group and coverings for the \(r\)-th modified dispersionless Kadomtsev-Petviashvili equation ⋮ Classical \(R\)-matrices on Poisson algebras and related dispersionless systems
Cites Work
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- Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
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- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
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