Integrable pseudopotentials related to generalized hypergeometric functions

2008/03/01 by Alexander Odesskii, Vladimir Sokolov, В. В. Соколов +2
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #High Energy Physics - Theory (hep-th) #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #hep-th #math.AP #math.QA #nlin.SI

paper · pdf · doi:10.48550/arxiv.0803.0086

Latex, 28 pages, new material on integrable 3-dimensional hydrodynamic type systems is added

openalex publication_date 2008/03/01 · arxiv created 2008/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct integrable pseudopotentials with an arbitrary number of fields in terms of generalized hypergeometric functions. These pseudopotentials yield some integrable (2+1)-dimensional hydrodynamic type systems. An interesting class of integrable (1+1)-dimensional hydrodynamic type systems is also generated by our pseudopotentials.

Citations

• A family of (2+1)-dimensional hydrodynamic type systems possessing pseudopotential

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