A hierarchy of integrable partial differential equations in 2+1 dimensions associated with one-parameter families of one-dimensional vector fields

2007/07/01 by S. V. Manakov, P. M. Santini · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons

paper · doi:10.1007/s11232-007-0084-2

crossref issued 2007/07/01 · crossref published 2007/07/01 · crossref published-print 2007/07/01 · openalex publication_date 2007/07/01 · crossref created 2007/09/01 · openalex created_date 2025/10/10 · crossref deposited 2026/04/06 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/31

Citations

• Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

Cited by

• On a class of multidimensional integrable hierarchies and their reductions
• Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions
• A note on the Hyper-CR equation, and gauged N= 2 supergravity
• The (3+1)-dimensional dispersionless integrable hierarchy and nonlinear Riemann-Hilbert problem associated with the Doubrov-Ferapontov modified heavenly equation