Waterbag reductions of the dispersionless discrete KP hierarchy

DOI10.1088/0305-4470/33/45/309zbMath0973.37044OpenAlexW2006677421MaRDI QIDQ2703438

Lei Yu

Publication date: 5 March 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/45/309

zbMATH Keywords

dipserisonless discrete KP hierarchyGeogdzhaev's methodwaterbag reductions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Discrete version of topics in analysis (39A12)

Related Items (9)

Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems ⋮ Integrability properties of the dispersionless Kadomtsev-Petviashvili hierarchy ⋮ A Poisson map from kinetic theory to hydrodynamics with non-constant entropy ⋮ Reductions of kinetic equations to finite component systems ⋮ Remarks on the Waterbag Model of Dispersionless Toda Hierarchy ⋮ Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type ⋮ Transformations of integrable hydrodynamic chains and their hydrodynamic reductions ⋮ Rational reductions of the 2D-Toda hierarchy and mirror symmetry ⋮ Hodograph solutions for the Manakov–Santini equation

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